simplify (2a + b)3 + (2a - b)3 -Maths 9th

simplify (2a + b)3 + (2a - b)3 -Maths 9th
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(2a + b)3 + (2a - b)3  = (8a3 + 12a2b + 3ab2 + b3 ) + (8a3 - 12a2b + 3ab2 - b3)  = 16a3  + 6ab2
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simplify (2a + b)3 + (2a - b)3 -Maths 9th

Description : simplify (2a + b)3 + (2a - b)3 -Maths 9th

Last Answer : (2a + b)3 + (2a - b)3 = (8a3 + 12a2b + 3ab2 + b3 ) + (8a3 - 12a2b + 3ab2 - b3) = 16a3 + 6ab2

The point (2,3) lies on the graph of the linear equation 3x - (a -1)y =2a -1. If the same point also lies on the graph of the linear equation 5x + (1-2a)y = 3b, then find the value of b. -Maths 9th

Description : The point (2,3) lies on the graph of the linear equation 3x - (a -1)y =2a -1. If the same point also lies on the graph of the linear equation 5x + (1-2a)y = 3b, then find the value of b. -Maths 9th

Last Answer : Given, point (2,3) lies on the line. So, the point (2, 3) is the solution of 3x - (a -1) y = 2a - 1 On putting x = 2 and y = 3 in given solution. ∴ 3 2 - (a-1) 3 = 2a - 1 ⇒ 6 - 3a + 3 = 2a - 1 ⇒ - 3a ... 2 2) 3 = 3b ⇒ 10 - 9 = 3b ⇒ 1 = 3b ⇒ 1 / 3 = b Hence, the value of b is 1 / 3.

If x + 2a is a factor of a5 -4a2x3 +2x + 2a +3, then find the value of a. -Maths 9th

Description : If x + 2a is a factor of a5 -4a2x3 +2x + 2a +3, then find the value of a. -Maths 9th

Last Answer : Let p(x) = a5 -4a2x3 +2x + 2a +3 Since, x + 2a is a factor of p(x), then put p(-2a) = 0 (-2a)5 – 4a2 (-2a)3 + 2(-2a) + 2a + 3 = 0 ⇒ -32a5 + 32a5 -4a + 2a+ 3 = 0 ⇒ -2a + 3 = 0 2a =3 a = 3/2. Hence, the value of a is 3/2.

The point (2,3) lies on the graph of the linear equation 3x - (a -1)y =2a -1. If the same point also lies on the graph of the linear equation 5x + (1-2a)y = 3b, then find the value of b. -Maths 9th

Description : The point (2,3) lies on the graph of the linear equation 3x - (a -1)y =2a -1. If the same point also lies on the graph of the linear equation 5x + (1-2a)y = 3b, then find the value of b. -Maths 9th

Last Answer : Given, point (2,3) lies on the line. So, the point (2, 3) is the solution of 3x - (a -1) y = 2a - 1 On putting x = 2 and y = 3 in given solution. ∴ 3 2 - (a-1) 3 = 2a - 1 ⇒ 6 - 3a + 3 = 2a - 1 ⇒ - 3a ... 2 2) 3 = 3b ⇒ 10 - 9 = 3b ⇒ 1 = 3b ⇒ 1 / 3 = b Hence, the value of b is 1 / 3.

If x + 2a is a factor of a5 -4a2x3 +2x + 2a +3, then find the value of a. -Maths 9th

Description : If x + 2a is a factor of a5 -4a2x3 +2x + 2a +3, then find the value of a. -Maths 9th

Last Answer : Let p(x) = a5 -4a2x3 +2x + 2a +3 Since, x + 2a is a factor of p(x), then put p(-2a) = 0 (-2a)5 – 4a2 (-2a)3 + 2(-2a) + 2a + 3 = 0 ⇒ -32a5 + 32a5 -4a + 2a+ 3 = 0 ⇒ -2a + 3 = 0 2a =3 a = 3/2. Hence, the value of a is 3/2.

If a = log12m and b = log18m, then (a-2b)/(b-2a) equals -Maths 9th

Description : If a = log12m and b = log18m, then (a-2b)/(b-2a) equals -Maths 9th

Last Answer : (a) log32\(rac{a-2b}{b-2a}\) = \(rac{ ext{log}_{12}\,m-\,2 ext{log}_{18}\,m}{ ext{log}_{18}\,m-\,2 ext{log}_{12}\,m}\)

For any two real number a b and , we defined aRb if and only if sin^2a + cos^2b = 1. The relation R is -Maths 9th

Description : For any two real number a b and , we defined aRb if and only if sin^2a + cos^2b = 1. The relation R is -Maths 9th

Last Answer : (d) an equivalence relationGiven, a R b ⇒ sin2a + cos2b = 1 Reflexive: a R a ⇒ sin2 a + cos2 a = 1 ∀ a ∈ R (True) Symmetric: a R b ⇒ sin2 a + cos2 b = 1 ⇒ 1 - cos2 a + 1 - sin2 b = 1 ⇒ sin2 b + ... + cos2 b + sin2 b + cos2 c = 2 ⇒ sin2 a + cos2 c = 1 ⇒ a R c (True)∴ R is an equivalence relation.

If a + b + c = 0, then what is the value of a^4 + b^4 + c^4 – 2a^2b^2 – 2b^2c^2 – 2c^2a^2 ? -Maths 9th

Description : If a + b + c = 0, then what is the value of a^4 + b^4 + c^4 – 2a^2b^2 – 2b^2c^2 – 2c^2a^2 ? -Maths 9th

Last Answer : answer:

If(x)/((b-c)(b+c-2a))=(y)/((c-a)(c+a-2b))=(z)((a-b)(a+b-2c)), what is the value of x + y + z ? -Maths 9th

Description : If(x)/((b-c)(b+c-2a))=(y)/((c-a)(c+a-2b))=(z)((a-b)(a+b-2c)), what is the value of x + y + z ? -Maths 9th

Last Answer : answer:

(2a)/(a+b)+(2b)/(b+c) + (2c)/(c+a) + ((b-c)(c-a)(a-b))/((b+c)(c+a)(a+b))equals -Maths 9th

Description : (2a)/(a+b)+(2b)/(b+c) + (2c)/(c+a) + ((b-c)(c-a)(a-b))/((b+c)(c+a)(a+b))equals -Maths 9th

Last Answer : answer:

The adjacent sides of a parallelogram are 2a and a. If the angle between them is 60°, then one of the diagonals of the parallelogram is -Maths 9th

Description : The adjacent sides of a parallelogram are 2a and a. If the angle between them is 60°, then one of the diagonals of the parallelogram is -Maths 9th

Last Answer : answer:

If (x^4 – 2x^2y^2 + y^2)^(a –1) = (x – y)^2a (x + y) ^–2, then the value of a is -Maths 9th

Description : If (x^4 – 2x^2y^2 + y^2)^(a –1) = (x – y)^2a (x + y) ^–2, then the value of a is -Maths 9th

Last Answer : answer:

Find the following products: (i) (3x + 2y + 2z) (9x2 + 4y2 + 4z2 – 6xy – 4yz – 6zx) (ii) (4x -3y + 2z) (16x2 + 9y2+ 4z2 + 12xy + 6yz – 8zx) (iii) (2a – 3b – 2c) (4a2 + 9b2 + 4c2 + 6ab – 6bc + 4ca) (iv) (3x -4y + 5z) (9x2 + 16y2 + 25z2 + 12xy- 15zx + 20yz) -Maths 9th

Description : Find the following products: (i) (3x + 2y + 2z) (9x2 + 4y2 + 4z2 – 6xy – 4yz – 6zx) (ii) (4x -3y + 2z) (16x2 + 9y2+ 4z2 + 12xy + 6yz – 8zx) (iii) (2a – 3b – 2c) (4a2 + 9b2 + 4c2 + 6ab – 6bc + 4ca) (iv) (3x -4y + 5z) (9x2 + 16y2 + 25z2 + 12xy- 15zx + 20yz) -Maths 9th

Last Answer : answer:

Simplify the question -Maths 9th

Description : Simplify the question -Maths 9th

Last Answer : After rationalizing it 42/11

Simplify by combining similar terms: -Maths 9th

Description : Simplify by combining similar terms: -Maths 9th

Last Answer : 5√2 + 20√2 = (5+20)√2 = 25√2

Simplify by combining similar terms : -Maths 9th

Description : Simplify by combining similar terms : -Maths 9th

Last Answer : Reducing into simplest form √12 = √22 × 3 = 2√3 √75 = √3 × 52 = 5√3 Therefore 4√3 - 3√12 + 2√75 = 4√3 - 3 × 2√3 + 2 × 5√3 = 4√3 - 6√3 + 10√3 = (4 - 6 + 10) √3 = 8√3

Simplify by combining similar terms : -Maths 9th

Description : Simplify by combining similar terms : -Maths 9th

Last Answer : Reducing into simplest form √8 = √(22× 2) = 2 × √2 √32 = √(22 × 22 × 2) = 2 × 2√2 = 4√2 ∴ √8 + √32 - √2 = 2√2 + 4√2 - √2 = (2 + 4 -1) √2 = 5√2 .

Simplify by combining similar terms : -Maths 9th

Description : Simplify by combining similar terms : -Maths 9th

Last Answer : √12 = √(22 × 3) = 2√3 √50 = √(2 × 52) = (5 √2) √48 = √(22 × 22 × 3) = (2 × 2√3)= 4√3 ∴ 4√12 - √50 - 7 √48 = 4 × 2√3 - 5√2 - 7 × 4√3 = 8√3 - 5√2 - 28√3 = (8 -28)√3 - 5√2 = -20√3 - 5√2

Simplify by combining similar terms : -Maths 9th

Description : Simplify by combining similar terms : -Maths 9th

Last Answer : Reducing into simplest form

Simplify and express the result in its simplest form : -Maths 9th

Description : Simplify and express the result in its simplest form : -Maths 9th

Last Answer : √14 × √21 = √14 × 21 = √2 × 7 × 3 × 7 = √2 × 3 × 72 = 7√6

Simplify and express the result in its simplest form : -Maths 9th

Description : Simplify and express the result in its simplest form : -Maths 9th

Last Answer : √15 × √7 = √15 × 7 = √105

Simplify and express the result in its simplest form : -Maths 9th

Description : Simplify and express the result in its simplest form : -Maths 9th

Last Answer : 3√4 × 3√22 = 3√4 × 22 = 3√22 × 2 × 11 =3√23 × 11 = 23√11

Simplify and express the result in its simplest form : -Maths 9th

Description : Simplify and express the result in its simplest form : -Maths 9th

Last Answer : L.C.M. of 3,4 of 12 3√2 = 12√24 = 12√16 4√3 = 12√33 = 12√27 3√2 × 4√3 = 12√16 × 12√27 = 12√(16×27) = 12√432

Simplify and express the result in its simplest form : -Maths 9th

Description : Simplify and express the result in its simplest form : -Maths 9th

Last Answer : 4√12 × 7√6 = 28√12 × 6 = 28√62 × 2 = 28 × 6√2 = 168√2.

Simplify and express the result in its simplest form : -Maths 9th

Description : Simplify and express the result in its simplest form : -Maths 9th

Last Answer : L.C.M. of 3,2 is 6 3√2 = 6√22 = 6√4 √5 = 6√53 = 6√125 3√2 × √5 = 6√4 × 6√125 = 6√(4 × 125) = 6√500 .

Simplify and express the result in its simplest form : -Maths 9th

Description : Simplify and express the result in its simplest form : -Maths 9th

Last Answer : 4√28 / 3√7 = 4√28 / 3√7 4√28 / 3√7 = 4 / 3√4 = 4 / 3 × 2 = 8 / 3

Simplify the following question -Maths 9th

Description : Simplify the following question -Maths 9th

Last Answer : Simplification of following question

Simplify by rationalizing the denominator : -Maths 9th

Description : Simplify by rationalizing the denominator : -Maths 9th

Last Answer : Rationalizing the denominator

SIMplify (2x+p-q)raise to power 2 -(2x-p+q)raise to power2 -Maths 9th

Description : SIMplify (2x+p-q)raise to power 2 -(2x-p+q)raise to power2 -Maths 9th

Last Answer : 2p-2q+2 is answer of the question

Simplify the following -Maths 9th

Description : Simplify the following -Maths 9th

Last Answer : Simplification:

Simplify the following question : -Maths 9th

Description : Simplify the following question : -Maths 9th

Last Answer : Simplification of following number

Simplify the following question : -Maths 9th

Description : Simplify the following question : -Maths 9th

Last Answer : Simplification

Simplify (2x- 5y)3 – (2x+ 5y)3. -Maths 9th

Description : Simplify (2x- 5y)3 – (2x+ 5y)3. -Maths 9th

Last Answer : (2x -5y)3 - (2x + 5y)3 = [(2x)3 - (5y)3 - 3(2x)(5y)(2x - 5y)] -[(2x)3 + (5y)3 + 3(2x)(5y)(2x+5y)] [using identity, (a - b)3 = a3 -b3 - 3ab and (a + b)3 =a3 +b3 + 3ab] = (2x)3 - (5y)3 - ... 2x)3- (5y)3 - 30xy (2x + 5y) = -2 (5y)3 - 30xy(2x - 5y + 2x + 5y) = -2 x 125y3 - 30xy(4x) = -250y3 -120x2y

Simplify the question -Maths 9th

Description : Simplify the question -Maths 9th

Last Answer : After rationalizing it 42/11

Simplify by combining similar terms: -Maths 9th

Description : Simplify by combining similar terms: -Maths 9th

Last Answer : 5√2 + 20√2 = (5+20)√2 = 25√2

Simplify by combining similar terms : -Maths 9th

Description : Simplify by combining similar terms : -Maths 9th

Last Answer : Reducing into simplest form √12 = √22 × 3 = 2√3 √75 = √3 × 52 = 5√3 Therefore 4√3 - 3√12 + 2√75 = 4√3 - 3 × 2√3 + 2 × 5√3 = 4√3 - 6√3 + 10√3 = (4 - 6 + 10) √3 = 8√3

Simplify by combining similar terms : -Maths 9th

Description : Simplify by combining similar terms : -Maths 9th

Last Answer : Reducing into simplest form √8 = √(22× 2) = 2 × √2 √32 = √(22 × 22 × 2) = 2 × 2√2 = 4√2 ∴ √8 + √32 - √2 = 2√2 + 4√2 - √2 = (2 + 4 -1) √2 = 5√2 .

Simplify by combining similar terms : -Maths 9th

Description : Simplify by combining similar terms : -Maths 9th

Last Answer : √12 = √(22 × 3) = 2√3 √50 = √(2 × 52) = (5 √2) √48 = √(22 × 22 × 3) = (2 × 2√3)= 4√3 ∴ 4√12 - √50 - 7 √48 = 4 × 2√3 - 5√2 - 7 × 4√3 = 8√3 - 5√2 - 28√3 = (8 -28)√3 - 5√2 = -20√3 - 5√2

Simplify by combining similar terms : -Maths 9th

Description : Simplify by combining similar terms : -Maths 9th

Last Answer : Reducing into simplest form

Simplify and express the result in its simplest form : -Maths 9th

Description : Simplify and express the result in its simplest form : -Maths 9th

Last Answer : √14 × √21 = √14 × 21 = √2 × 7 × 3 × 7 = √2 × 3 × 72 = 7√6

Simplify and express the result in its simplest form : -Maths 9th

Description : Simplify and express the result in its simplest form : -Maths 9th

Last Answer : √15 × √7 = √15 × 7 = √105

Simplify and express the result in its simplest form : -Maths 9th

Description : Simplify and express the result in its simplest form : -Maths 9th

Last Answer : 3√4 × 3√22 = 3√4 × 22 = 3√22 × 2 × 11 =3√23 × 11 = 23√11

Simplify and express the result in its simplest form : -Maths 9th

Description : Simplify and express the result in its simplest form : -Maths 9th

Last Answer : 4√12 × 7√6 = 28√12 × 6 = 28√62 × 2 = 28 × 6√2 = 168√2.

Simplify and express the result in its simplest form : -Maths 9th

Description : Simplify and express the result in its simplest form : -Maths 9th

Last Answer : L.C.M. of 3,2 is 6 3√2 = 6√22 = 6√4 √5 = 6√53 = 6√125 3√2 × √5 = 6√4 × 6√125 = 6√(4 × 125) = 6√500 .

Simplify and express the result in its simplest form : -Maths 9th

Description : Simplify and express the result in its simplest form : -Maths 9th

Last Answer : L.C.M. of 3,4 of 12 3√2 = 12√24 = 12√16 4√3 = 12√33 = 12√27 3√2 × 4√3 = 12√16 × 12√27 = 12√(16×27) = 12√432

Simplify the following question -Maths 9th

Description : Simplify the following question -Maths 9th

Last Answer : Simplification of following question

Simplify and express the result in its simplest form : -Maths 9th

Description : Simplify and express the result in its simplest form : -Maths 9th

Last Answer : 4√28 / 3√7 = 4√28 / 3√7 4√28 / 3√7 = 4 / 3√4 = 4 / 3 × 2 = 8 / 3

Simplify by rationalizing the denominator : -Maths 9th

Description : Simplify by rationalizing the denominator : -Maths 9th

Last Answer : Rationalizing the denominator

SIMplify (2x+p-q)raise to power 2 -(2x-p+q)raise to power2 -Maths 9th

Description : SIMplify (2x+p-q)raise to power 2 -(2x-p+q)raise to power2 -Maths 9th

Last Answer : 2p-2q+2 is answer of the question

Simplify the following -Maths 9th

Description : Simplify the following -Maths 9th

Last Answer : Simplification: