English Medium कक्षा ९ - CBSE Question Bank Solutions for Mathematics

Evaluate the following product without multiplying directly:

104 × 96

Factorise the following using appropriate identity:

9x² + 6xy + y² 

Factorise the following using appropriate identity:

4y² – 4y + 1

Factorise the following using appropriate identity:

`x^2 - y^2/100`

Expand the following, using suitable identity:

(x + 2y + 4z)² 

Expand the following, using suitable identity:

(2x – y + z)² 

Expand the following, using suitable identity:

(–2x + 3y + 2z)²

Expand the following, using suitable identity:

(3a – 7b – c)² 

Expand the following, using suitable identity:

(–2x + 5y – 3z)²

Expand the following, using suitable identity:

`[1/4a-1/2b+1]^2`

Factorise:

4x² + 9y² + 16z² + 12xy – 24yz – 16xz

Factorise:

`2x^2 + y^2 + 8z^2 - 2sqrt2xy + 4sqrt2yz - 8xz`

Write the following cube in expanded form:

(2x + 1)³ 

Write the following cube in expanded form:

(2a – 3b)³

Write the following cube in expanded form:

`[3/2x+1]^3`

Write the following cube in expanded form:

`[x-2/3y]^3`

Evaluate the following using suitable identity:

(99)³ 

Evaluate the following using suitable identity:

(102)³ 

Evaluate the following using suitable identity:

(998)³ 

Factorise the following:

8a³ + b³ + 12a²b + 6ab²