2.2 FACTORISATION

Factorise the following algebraic expression.

n² - 4 = ?

• (n - 1)(n + 4)
• (n - 2)(n + 2)
• (n - 4)(n + 1)
• (n + 2)(n + 2)

Factorise the following algebraic expression.

1 - a² = ?

• (a - 1)(a + 1)

• (1 - a)(1 + a)

Factorise the following algebraic expression.

x² - 16 = ?

• (x - 8)(x + 2)
• (x + 4)(x + 4)
• (x - 4)(x + 4)
• (x - 4)(x - 4)

Factorise the following algebraic expression.

9p² - 36 = ?

• 9(p - 3)(p + 3)
• 9(p - 2)(p + 2)
• (p - 6)(p + 6)
• 3(p - 4)(p + 4)

Factorise the following algebraic expression.

100m² - 1 = ?

• (100m - 1)(m + 1)
• (10m - 1)(10m + 1)
• (2m - 10)(2m + 10)
• (5m - 1)(20m + 1)

Factorise the following algebraic expression.

32k² - 18 = ?

• 16(k - 1.125)
• 2(8k - 9)
• 4(8k - 4.5)
• 2(4k - 3)(4k + 3)

Factorise the following algebraic expression.

20w² - 45 = ?

• 5(4w - 9)
• 2(10w^2 - 22.5)
• 10(2w - 4.5)
• 5(2w - 3)(2w + 3)

Factorise the following algebraic expression.

49g² - 64h² = ?

• (7g - 8h)(7g - 8h)
• (49g - 64h)(1)
• (7g + 8h)(7g + 8h)
• (7g - 8h)(7g + 8h)

Factorise the following algebraic expression.

mn - mq + np - pq

• (n - q)(m + p)
• (m - n)(p + q)
• (m + n)(p - q)
• (m - p)(n + q)

Factorise the following algebraic expression.

4ac + 12ad + 7bc + 21bd

• (c + 3d)(4a + 7b)
• (c + 2d)(2a + 3b)
• (c + 6d)(2a + 7b)
• (c + 4d)(a + 5b)