Q3 of 86 Page 56

Factorise the following using appropriate identities.

4x² can be written as (2x)²

can be written as

⇒ 4x² - = (2x)² -

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

here a = 2x and b =

Therefore 4x² - = (2x + ) (2x - )

Factorise the following using appropriate identities.

16x² + 24xy + 9y²

Factorise the following using appropriate identities.

4y² - 4y + 1

Factorise the following using appropriate identities.

18a² – 50

Factorise the following using appropriate identities.

x² + 5x + 6

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