Question

Factorise the following
a) x2-4​

Answer 1

Answer:

Grouping

1

Use the sum-product pattern

2

−

4

x^{2}{\color{#c92786}{-4}}

x2−4

2

+

2

−

2

−

4

x^{2}+{\color{#c92786}{2x}}{\color{#c92786}{-2x}}-4

x2+2x−2x−4

2

Common factor from the two pairs

3

Rewrite in factored form

Solution

(

−

2

)

(

+

2

)

Answer 2

${\huge{\red{\:\:\:\:\:\:\:\:Ꮧռʂաɛʀ\:\:\:\:\:\:\:\:}}}$

${x}^{2} - 4 \\ \\ {x}^{2} - 4 \\ \\ {x}^{2} + 2x - 2x - 4 \\ \\ {x}^{2} + 2x - 2x - 4 \\ \\ x(x + 2) - 2(x + 2) \\ \\ (x - 2)(x + 2)$