Q4 of 86 Page 56

Expand each of the following, using suitable identities
(p + 1)³

Using identity (x + y)³ = x³ + y³ + 3x²y + 3xy²

Here x = p and y = 1

⇒ (p + 1)³ = p³ + 1³ + 3(p)²(1) + 3(p)(1)²

= p³ + 1³ + 3p² + 3p

Therefore (p + 1)³ = p³ + 1³ + 3p² + 3p

Expand each of the following, using suitable identities

(-2a + 5b - 3c)²

Expand each of the following, using suitable identities

Factorise

25x² + 16y² + 4z² - 40xy + 16yz - 20xz

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

Expand each of the following, using suitable identities(p + 1)3