English Medium कक्षा ९ - CBSE Question Bank Solutions

If `x/y + y/x = -1 (x, y ≠ 0)`, the value of x³ – y³ is ______.

If `49x^2 - b = (7x + 1/2)(7x - 1/2)`, then the value of b is ______.

If a + b + c = 0, then a³ + b³ + c³ is equal to ______.

Using suitable identity, evaluate the following:

103³

Using suitable identity, evaluate the following:

101 × 102

Using suitable identity, evaluate the following:

999²

Factorise the following: 

4x² + 20x + 25

Factorise the following:

9y² – 66yz + 121z²

Factorise the following:

`(2x + 1/3)^2 - (x - 1/2)^2`

Expand the following:

(4a – b + 2c)² 

Expand the following:

(3a – 5b – c)² 

Expand the following:

(–x + 2y – 3z)²

Factorise the following:

9x² + 4y² + 16z² + 12xy – 16yz – 24xz

Factorise the following:

25x² + 16y² + 4z² – 40xy + 16yz – 20xz

Factorise the following:

16x² + 4y² + 9z² – 16xy – 12yz + 24xz

If a + b + c = 9 and ab + bc + ca = 26, find a² + b² + c².

Expand the following:

(3a – 2b)³ 

Expand the following:

`(1/x + y/3)^3`

Expand the following:

`(4 - 1/(3x))^3`

Find the following product:

`(x/2 + 2y)(x^2/4 - xy + 4y^2)`