English Medium Class 9 - CBSE Question Bank Solutions

Simplify `(x^2 + y^2 - z)^2 - (x^2 - y^2 + z^2)^2`

Simplify (2x + p - c)² - (2x - p + c)²

If a + b + c = 0 and a² + b² + c² = 16, find the value of ab + bc + ca.

If a² + b² + c² = 16 and ab + bc + ca = 10, find the value of a + b + c.

If a + b + c = 9 and ab + bc + ca = 23, find the value of a² + b² + c².

Find the value of 4x² + y² + 25z² + 4xy − 10yz − 20zx when x = 4, y = 3 and z = 2.

Simplify the expression: 

`(x + y + z)^2 + (x + y/2 + 2/3)^2 - (x/2 + y/3 + z/4)^2`

Simplify the following expressions:

`(x + y - 2z)^2 - x^2 - y^2 - 3z^2 +4xy`

Simplify the following expressions:

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

Factorize: x³ + x - 3x² - 3

Factorize: a (a + b)³ - 3a²b (a + b)

Factorize x (x³ - y³ ) + 3xy ( x - y )

Factorize: `a^2 x^2 + (ax^2 + 1)x + a`

Factorize : x² + y - xy - x

Factorize x³ - 2x² y + 3xy² - 6y³

Factorize `6ab - b^2 + 12ac - 2bc`

Factorize `[x^2 + 1/x^2] - 4[x + 1/x] + 6`

Factorize x( x - 2)( x - 4) + 4x - 8

Factorize (x + 2)(x² + 25) -10x² - 20x

Factorize `2a^2 + 2  sqrt6ab + 3b^2`