English Medium Class 9 - CBSE Question Bank Solutions for Mathematics

Simplify the following

`(7.83 + 7.83 - 1.17 xx 1.17)/6.66`

if `x + 1/x = 11`, find the value of `x^2 + 1/x^2`

If `x + 1/x = sqrt5`, find the value of `x^2 + 1/x^2` and `x^4 + 1/x^4`

If `x^2 + 1/x^2 = 66`, find the value of `x - 1/x`

if `x^2 + 1/x^2 = 79` Find the value of `x + 1/x`

If 9x² + 25y² = 181 and xy = −6, find the value of 3x + 5y

If 2x + 3y = 8 and xy = 2 find the value of `4x^2 + 9y^2`

If 3x - 7y = 10 and xy = -1, find the value of `9x^2 + 49y^2`

Simplify the following products:

`(1/2a - 3b)(1/2a + 3b)(1/4a^2 + 9b^2)`

Simplify the following products:

`(m + n/7)^3 (m - n/7)`

Simplify the following products:

`(x/2 - 2/5)(2/5 - x/2) - x^2 + 2x`

Simplify the following product:

(x² + x − 2)(x² − x + 2)

Simplify the following products:

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

Simplify the following products:

`(2x^4 - 4x^2 + 1)(2x^4 - 4x^2 - 1)`

Prove that a² + b² + c² − ab − bc − ca is always non-negative for all values of a, b and c

Write in the expanded form:

`(a + 2b + c)^2`

Write in the expanded form:

(2a - 3b - c)²

Write the expanded form:

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

Write in the expanded form:

`(m + 2n - 5p)^2`

Write in the expanded form:

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