Q1 of 86 Page 56

Use suitable identities to find the following products
(1 + x) (1 + x)

(1 + x) (1 + x) = (1 + x)²

Using identity (a + b)² = a² + 2ab + b²

Here a = 1 and b = x

⇒ (1 + x) (1 + x) = 1² + 2(1)(x) + x²

Therefore (1 + x) (1 + x) = 1 + 2x + x²

Use suitable identities to find the following products

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

Use suitable identities to find the following products

Evaluate the following products without actual multiplication.

101 × 99

Evaluate the following products without actual multiplication.

999 × 999

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

Use suitable identities to find the following products(1 + x) (1 + x)