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

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: \[\frac{8 . 63 \times 8 . 63 - 1 . 37 \times 1 . 37}{0 . 726}\]

Find the value of x, if 4x = (52)² − (48)².

Find the value of x, if 14x = (47)² − (33)².

Find the value of x, if 5x = (50)² − (40)².

If 2x + 3y = 14 and 2x − 3y = 2, find the value of xy.
[Hint: Use (2x + 3y)² − (2x − 3y)² = 24xy]

Find the following product: (x + 4) (x + 7)

Find the following product:  (x − 11) (x + 4)

Find the following product: (x + 7) (x − 5)

Find the following product: (x − 3) ( x − 2)

Find the following product: (y² − 4) (y² − 3)