Factorise completely:

Question

1)3g-3t+2mg-2mt
2)3x squared + 2x-8
3)3x squared-27

Answer 1

1. a "grouping" question

3g-3t+2mg-2mt
= 3(g-t) + 2m(g-t)
You do the last step

2. 3x^2 + 2x-8
= (3x - 4)(? + ?) can you figure out the second bracket?

3. 3x^2 - 27
= 3(x^2 - 9)
= ..... mmhh, looks like a difference of squares

Answer 2

(G-T) ( 3 + 2m)

(3x+4) (x-2)

3 (x+3) ( x-3)