Secondary School (English Medium) (5 to 8) Class 8 - CBSE Question Bank Solutions for Mathematics

Multiply:
(3x²y − 5xy²) by  \[\left( \frac{1}{5} x^2 + \frac{1}{3} y^2 \right)\].

Multiply:
(2x² − 1) by (4x³ + 5x²)

(2xy + 3y²) (3y² − 2)

Find the following product and verify the result for x = − 1, y = − 2:
(3x − 5y) (x + y)

Find the following product and verify the result for x = − 1, y = − 2:
(x²y − 1) (3 − 2x²y)

Find the following product and verify the result for x = − 1, y = − 2: \[\left( \frac{1}{3}x - \frac{y^2}{5} \right)\left( \frac{1}{3}x + \frac{y^2}{5} \right)\]

Simplify:
x²(x + 2y) (x − 3y)

Simplify:

(x² − 2y²) (x + 4y) x²y²

Simplify:
a²b²(a + 2b)(3a + b)

Simplify:
x²(x − y) y²(x + 2y)

Simplify:
(x³ − 2x² + 5x − 7)(2x − 3)

Simplify:
(5x + 3)(x − 1)(3x − 2)

Simplify:
(5 − x)(6 − 5x)( 2 − x)

Simplify:
(2x² + 3x − 5)(3x² − 5x + 4)

Simplify:
(3x − 2)(2x − 3) + (5x − 3)(x + 1)

Simplify:
(5x − 3)(x + 2) − (2x + 5)(4x − 3)

Simplify:
(3x + 2y)(4x + 3y) − (2x − y)(7x − 3y)

Simplify:
(x² − 3x + 2)(5x − 2) − (3x² + 4x − 5)(2x − 1)

Simplify:
(x³ − 2x² + 3x − 4) (x −1) − (2x − 3)(x² − x + 1)

Simplify : (x − y)(x + y) (x² + y²)(x⁴ + y²)