Foctorise the following:4x4 – 5x2 + 1.

⇒ 4x4 - 5x2 + 1⇒ 4x4 - 4x2 – x2 + 1⇒ 4x2(x2 - 1) - (x2 – 1)⇒ (x2 - 1)(4x2 - 1)⇒ (x – 1)(x + 1)(2x – 1)(2x + 1)

Q4 of 53 Page 166

Foctorise the following:
4x⁴ – 5x² + 1.

⇒ 4x⁴ - 5x² + 1

⇒ 4x⁴ - 4x² – x² + 1

⇒ 4x²(x² - 1) - (x² – 1)

⇒ (x² - 1)(4x² - 1)

⇒ (x – 1)(x + 1)(2x – 1)(2x + 1)

Foctorise the following:

6x² – 5x – 14

Foctorise the following:

4x² + 12xy + 5y²

Factorise the following:

x⁸ – y⁸

Factorise the following:

ax⁴ – ax¹²

Questions · 53

4. Factorisation

1 2 2 2 2 3 3 3 3 3 3 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 1 1 1 1 1 1 2 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 6