Question

(18a-9b-13) (2a-b+1)​

Answer 1

Answer:

9 (2a-b)² - 4(2a-b)-13

write -4(2a-b) as a sum or difference.

→ 9(2a-b)² + 9(2a-b)-13(2a-b) -13

Factor out 9(2a-b) from the expression.

→ 9(2a-b)× (2a-b+1) -13 (2a-b) -13

Factor out -13 from the expression.

→ 9(2a-b)× (2a-b+1) -13 (2a-b+1)

Factor out 2a-b+1 from the expression.

→ (2a-b+1) × [9(2a-b)-13]

→ (2a-b+1) × (18a-9b-13)

Answer 2

Answer:

9(2a - b)² - 4(2a - b) - 13

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

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

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

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

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

Hope this helps! :)