Q1 of 86 Page 56

Use suitable identities to find the following products

using the identity (a + b) × (a – b) = a² – b²

here a = x² and b =

⇒ = (x²)² -

Therefore = x⁴ -

(x - 5) (x - 5)

Use suitable identities to find the following products

(3x + 2)(3x - 2)

Use suitable identities to find the following products

(1 + x) (1 + x)

Evaluate the following products without actual multiplication.

101 × 99

Questions · 86

2. Polynomials and Factorisation

1 2 3 4 5 6 1 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 6 1 1 1 1 1 2 3 4 5 6 7 8 9 1 1 1 1 2 2 2 2 2 3 4 5 6 7 7 7 7 8 9 10 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5