Question

Factorise completely 4x^(2 )(x + 1) - 6x (x+1)

Answer 1

(4x2-6x) (x+1)

now common factor is (x+1) ,so,(4x2-6x) (x+1)

Answer 2

`{4x}^(2) (x + 1) - 6x(x + 1) \\ = (x + 1)(4 {x}^(2) - 6 x ) \\ = (x + 1)(2x)(2x - 3)`

explanation:

first choose the common factor by observation, it is (x + 1):

factorise it out:

= (x + 1)(4x² - 6x)

by observation in (4x² - 6x), common factor is 2x.

Factorise 2x out:

= (x + 1)[2x(2x - 3)]