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English Medium Class 9 - CBSE Question Bank Solutions

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Find the following product:

 (7p4 + q) (49p8 − 7p4q + q2)

[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: undefined >> undefined

Find the following product:

\[\left( \frac{x}{2} + 2y \right) \left( \frac{x^2}{4} - xy + 4 y^2 \right)\]

[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: undefined >> undefined

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Find the following product:

\[\left( \frac{3}{x} - \frac{5}{y} \right) \left( \frac{9}{x^2} + \frac{25}{y^2} + \frac{15}{xy} \right)\]

[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: undefined >> undefined

Find the following product:

\[\left( 3 + \frac{5}{x} \right) \left( 9 - \frac{15}{x} + \frac{25}{x^2} \right)\]

[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: undefined >> undefined

Find the following product:

\[\left( \frac{2}{x} + 3x \right) \left( \frac{4}{x^2} + 9 x^2 - 6 \right)\]
[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: undefined >> undefined

Find the following product:

\[\left( \frac{3}{x} - 2 x^2 \right) \left( \frac{9}{x^2} + 4 x^4 - 6x \right)\]
[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: undefined >> undefined

Find the following product:

(1 − x) (1+ x + x2)
[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: undefined >> undefined

Find the following product:

(1 + x) (1 − x + x2)
[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: undefined >> undefined

Find the following product:

(x2 − 1) (x4 + x2 + 1)
[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: undefined >> undefined

Find the following product:

(x3 + 1) (x6 − x3 + 1)
[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: undefined >> undefined

If x = 3 and y = − 1, find the values of the following using in identify:

 (9y2 − 4x2) (81y4 +36x2y2 + 16x4)

[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: undefined >> undefined

If x = 3 and y = − 1, find the values of the following using in identify:

\[\left( \frac{3}{x} - \frac{x}{3} \right) \left( \frac{x^2}{9} + \frac{9}{x^2} + 1 \right)\]

[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: undefined >> undefined

If x = 3 and y = − 1, find the values of the following using in identify:

\[\left( \frac{x}{7} + \frac{y}{3} \right) \left( \frac{x^2}{49} + \frac{y^2}{9} - \frac{xy}{21} \right)\]

[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: undefined >> undefined

If x = 3 and y = − 1, find the values of the following using in identify:

\[\left( \frac{x}{y} - \frac{y}{3} \right) \frac{x^2}{16} + \frac{xy}{12} + \frac{y^2}{9}\]

[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: undefined >> undefined

If x = 3 and y = − 1, find the values of the following using in identify:

\[\left( \frac{5}{x} + 5x \right)\] \[\left( \frac{25}{x^2} - 25 + 25 x^2 \right)\]

[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: undefined >> undefined

If a + b = 10 and ab = 16, find the value of a2 − ab + b2 and a2 + ab + b2

[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: undefined >> undefined

If a + b = 8 and ab = 6, find the value of a3 + b3

[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: undefined >> undefined

If a + b = 6 and ab = 20, find the value of a3 − b3

[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: undefined >> undefined

If x = −2 and y = 1, by using an identity find the value of the following

 4y2 − 9x2 (16y4 + 36x2y2+81x4)
[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: undefined >> undefined

If x = −2 and y = 1, by using an identity find the value of the following

\[\left( \frac{2}{x} - \frac{x}{2} \right) \left( \frac{4}{x^2} + \frac{x^2}{4} + 1 \right)\]
[2.04] Algebraic Identities
Chapter: [2.04] Algebraic Identities
Concept: undefined >> undefined
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