Factorise x2-2x-8

How to factorise x² + 2x - 8? Step-by-step factorisation with middle-term splitting for CBSE Class 9 and 10 Maths exam preparation.

Ans: To get the factors of the equation x2-2x-8, we need to split the factors by the middle digit, which is 2x. the factors of 2x are:

2x = – 4x + 2x

Hence, the equation x2-2x-8 is now written as:

x2 – 4x + 2x – 8.

Selecting the x common from the primary two term and 2 common from secondary two terms. The equation is now:

x (x + 4) – 2 (x + 4)

= (x – 2) (x + 4)

Therefore, after factorisation we get the factors of equation x2-2x-8 as (x – 2) (x + 4).