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

Using suitable identities, evaluate the following.

(132)² – (68)²

Using suitable identities, evaluate the following.

(339)² – (161)²

Using suitable identities, evaluate the following.

(729)² – (271)²

Factorise the following using the identity a² – b² = (a + b)(a – b).

x² – 9

Factorise the following using the identity a² – b² = (a + b)(a – b).

4x² – 25y²

Factorise the following using the identity a² – b² = (a + b)(a – b).

4x² – 49y²

Factorise the following using the identity a² – b² = (a + b)(a – b).

3a²b³ – 27a⁴b

Factorise the following using the identity a² – b² = (a + b)(a – b).

28ay² – 175ax²

Factorise the following using the identity a² – b² = (a + b)(a – b).

9x² – 1

Factorise the following using the identity a² – b² = (a + b)(a – b).

25ax² – 25a

Factorise the following using the identity a² – b² = (a + b)(a – b).

`x^2/9 - y^2/25`

Factorise the following using the identity a² – b² = (a + b)(a – b).

`(2p^2)/25 - 32q^2`

Factorise the following using the identity a² – b² = (a + b)(a – b).

49x² – 36y²

Factorise the following using the identity a² – b² = (a + b)(a – b).

`y^3 - y/9`

Factorise the following using the identity a² – b² = (a + b)(a – b).

`x^2/25 - 625`

Factorise the following using the identity a² – b² = (a + b)(a – b).

`x^2/8 - y^2/18`

Factorise the following using the identity a² – b² = (a + b)(a – b).

`(4x^2)/9 - (9y^2)/16`

Factorise the following using the identity a² – b² = (a + b)(a – b).

`(x^3y)/9 - (xy^3)/16`

Factorise the following using the identity a² – b² = (a + b)(a – b).

1331x³y – 11y³x

Factorise the following using the identity a² – b² = (a + b)(a – b).

`1/36a^2b^2 - 16/49b^2c^2`