Question

3x^2-12x-36 factorise

Answer 1

3 (x^2-4x-12)
3 (x^2-6x+2x-12)
3 (x (x-6)+2 (x-6))
3(x-6)(x+2)

hope it helps u dear ❤ ❤

Answer 2

Answer:

3 ( x - 6 )( x + 2 )

Step-by-step explanation:

3 x² - 12 x - 36

Take 3 as common :

⇒ 3 ( x² - 4 x - 12 )

Now split - 4 x into - 6 x + 2 x

⇒ 3 (  x² - 6 x + 2 x - 12 )

⇒ 3 [ x ( x - 6 ) + 2 ( x - 6 ) ]

⇒ 3 [ ( x - 6 )( x + 2 ) ]

This is know as middle term factorisation .