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Secondary School (English Medium) (5 to 8) Class 8 - CBSE Question Bank Solutions

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Using suitable identities, evaluate the following.

52 × 53

[8] Algebraic Expressions and Identities
Chapter: [8] Algebraic Expressions and Identities
Concept: undefined >> undefined

Using suitable identities, evaluate the following.

105 × 95

[8] Algebraic Expressions and Identities
Chapter: [8] Algebraic Expressions and Identities
Concept: undefined >> undefined

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Carry out the following division:

51x3y2z ÷ 17xyz

[8] Algebraic Expressions and Identities
Chapter: [8] Algebraic Expressions and Identities
Concept: undefined >> undefined

Carry out the following division:

76x3yz3 ÷ 19x2y2

[8] Algebraic Expressions and Identities
Chapter: [8] Algebraic Expressions and Identities
Concept: undefined >> undefined

Carry out the following division:

17ab2c3 ÷ (–abc2)

[8] Algebraic Expressions and Identities
Chapter: [8] Algebraic Expressions and Identities
Concept: undefined >> undefined

Carry out the following division:

–121p3q3r3 ÷ (–11xy2z3)

[8] Algebraic Expressions and Identities
Chapter: [8] Algebraic Expressions and Identities
Concept: undefined >> undefined

Perform the following division:

(3pqr – 6p2q2r2) ÷ 3pq

[8] Algebraic Expressions and Identities
Chapter: [8] Algebraic Expressions and Identities
Concept: undefined >> undefined

Perform the following division:

(ax3 – bx2 + cx) ÷ (– dx)

[8] Algebraic Expressions and Identities
Chapter: [8] Algebraic Expressions and Identities
Concept: undefined >> undefined

Perform the following division:

(x3y3 + x2y3 – xy4 + xy) ÷ xy

[8] Algebraic Expressions and Identities
Chapter: [8] Algebraic Expressions and Identities
Concept: undefined >> undefined

Perform the following division:

(– qrxy + pryz – rxyz) ÷ (– xyz)

[8] Algebraic Expressions and Identities
Chapter: [8] Algebraic Expressions and Identities
Concept: undefined >> undefined

Match the expressions of column I with that of column II:

Column I Column II
(1) (21x + 13y)2 (a) 441x2 – 169y2
(2) (21x – 13y)2 (b) 441x2 + 169y2 + 546xy
(3) (21x – 13y)(21x + 13y) (c) 441x2 + 169y2 – 546xy
  (d) 441x2 – 169y2 + 546xy
[8] Algebraic Expressions and Identities
Chapter: [8] Algebraic Expressions and Identities
Concept: undefined >> undefined

Use a suitable identity to get the following products.

(x + 3) (x + 3)

[8] Algebraic Expressions and Identities
Chapter: [8] Algebraic Expressions and Identities
Concept: undefined >> undefined

Use a suitable identity to get the following products.

(2y + 5) (2y + 5)

[8] Algebraic Expressions and Identities
Chapter: [8] Algebraic Expressions and Identities
Concept: undefined >> undefined

Use a suitable identity to get the following products

(2a ­− 7) (2a − 7)

[8] Algebraic Expressions and Identities
Chapter: [8] Algebraic Expressions and Identities
Concept: undefined >> undefined

Use a suitable identity to get the following products.

`(3a - 1/2)(3a - 1/2)`

[8] Algebraic Expressions and Identities
Chapter: [8] Algebraic Expressions and Identities
Concept: undefined >> undefined

Use a suitable identity to get the following products.

(1.1m − 0.4) (1.1 m + 0.4)

[8] Algebraic Expressions and Identities
Chapter: [8] Algebraic Expressions and Identities
Concept: undefined >> undefined

Use a suitable identity to get the following products.

(a2 + b2) (− a2 + b2)

[8] Algebraic Expressions and Identities
Chapter: [8] Algebraic Expressions and Identities
Concept: undefined >> undefined

Use a suitable identity to get the following products.

(6x − 7) (6x + 7)

[8] Algebraic Expressions and Identities
Chapter: [8] Algebraic Expressions and Identities
Concept: undefined >> undefined

Use a suitable identity to get the following products.

(− a + c) (− a + c)

[8] Algebraic Expressions and Identities
Chapter: [8] Algebraic Expressions and Identities
Concept: undefined >> undefined

Use a suitable identity to get the following products.

`(x/2 + (3y)/4)(x/2 + (3y)/4)`

[8] Algebraic Expressions and Identities
Chapter: [8] Algebraic Expressions and Identities
Concept: undefined >> undefined
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