English Medium कक्षा ९ - CBSE Question Bank Solutions

If `x - 1/x = 3 + 2sqrt2`, find the value of `x^3 - 1/x^3`

Simplify of the following:

(x+3)³ + (x−3)³

Simplify of the following:

Simplify of the following:

\[\left( x + \frac{2}{x} \right)^3 + \left( x - \frac{2}{x} \right)^3\]

Simplify of the following:

(2x − 5y)³ − (2x + 5y)³

If `x^4 + 1/x^4 = 194, "find"  x^3 + 1/x^3`

If \[x^4 + \frac{1}{x^4} = 119\] , find the value of \[x^3 - \frac{1}{x^3}\]

Find the following product:

(3x + 2y) (9x² − 6xy + 4y²)

Find the following product:

(4x − 5y) (16x² + 20xy + 25y²)

Find the following product:

 (7p⁴ + q) (49p⁸ − 7p⁴q + q²)

Find the following product:

\[\left( \frac{x}{2} + 2y \right) \left( \frac{x^2}{4} - xy + 4 y^2 \right)\]

Find the following product:

\[\left( \frac{3}{x} - \frac{5}{y} \right) \left( \frac{9}{x^2} + \frac{25}{y^2} + \frac{15}{xy} \right)\]

Find the following product:

\[\left( 3 + \frac{5}{x} \right) \left( 9 - \frac{15}{x} + \frac{25}{x^2} \right)\]

Find the following product:

Find the following product:

Find the following product:

Find the following product:

Find the following product:

Find the following product: