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

When a die is thrown, list the outcome of an event of getting a number not greater than 5.

When a die is thrown, list the outcome of an event of getting not a prime number.

Show that (3x + 7)² − 84x = (3x − 7)²

Show that (9p - 5q)² + 180pq = (9p + 5q)²

Show that `(4/3 m - 3/4 n)^2 + 2mn = 16/9 m^2 + 9/16 n^2`

Show that `(4pq + 3q)^2 - (4pq - 3q)^2 = 48pq^2`

Show that (a - b)(a + b) + (b - c) (b + c) + (c - a) (c + a) = 0

Simplify the following using the formula: (a − b)(a + b) = a² − b²: (82)² − (18)²

Simplify the following using the formula: (a − b)(a + b) = a² − b²: (467)² − (33)²

Simplify the following using the formula: (a − b)(a + b) = a² − b²: (79)² − (69)²

Simplify the following using the formula: (a − b)(a + b) = a² − b²: 197 × 203

Simplify the following using the formula: (a − b)(a + b) = a² − b²: 113 × 87

Simplify the following using the formula: (a − b)(a + b) = a² − b²: 95 × 105

Simplify the following using the formula: (a − b)(a + b) = a² − b²: 1.8 × 2.2

Simplify the following using the formula: (a − b)(a + b) = a² − b²:  9.8 × 10.2

Simplify the following using the identities: \[\frac{{58}^2 - {42}^2}{16}\]

Simplify the following using the identities: 178 × 178 − 22 × 22

Simplify the following using the identities: \[\frac{198 \times 198 - 102 \times 102}{96}\]

Simplify the following using the identities:  1.73 × 1.73 − 0.27 × 0.27

Simplify the following using the identities: \[\frac{8 . 63 \times 8 . 63 - 1 . 37 \times 1 . 37}{0 . 726}\]