Question

Factorise: 9(2a-b)square - 4(2a-b) - 13

Answer 1

Answer:

Step-by-step explanation:

9(2a-b)square - 4(2a-b) - 13

Taking 2a-b to be x

= 9x2 - 4x - 13             Product: -117x2   ;     Sum: -4x

= 9x2 + 9x - 13x - 13

= (9x2 +9x) - (13x + 13)

= 9x(x+1) - 13(x+1)

= (9x-13) (x+1)

Substituting with the given value

= [9(2a-b)-13] (2a-b+1)

= (18a-9b-13) (2a-b+1)