Secondary School (English Medium) (5 to 8) इयत्ता ८ - CBSE Question Bank Solutions

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)

Simplify : (2x − 1)(2x + 1)(4x² + 1)(16x⁴ + 1)

Simplify : (4m − 8n)² + (7m + 8n)²

Simplify : (2.5p − 1.5q)² − (1.5p − 2.5q)²

Simplify :  (m² − n²m)² + 2m³n²

Show that:  (3x + 7)² − 84x = (3x − 7)²

Show that:  (9a − 5b)² + 180ab = (9a + 5b)² 

Show that: \[\left( \frac{4m}{3} - \frac{3n}{4} \right)^2 + 2mn = \frac{16 m^2}{9} + \frac{9 n^2}{16}\]

Show that:  (4pq + 3q)² − (4pq − 3q)² = 48pq²

Show that:  (a − b)(a + b) + (b − c)(b + c) + (c − a)( c + a) = 0