Question

Hii everyone!!!

Factorize the following
Plz help me....

Answer 1

9(2a-b)²- 4(2a-b) - 13

Let 2a-b = x

Now the equation becomes
9x²-4x-13

Factorising by splitting middle term

9x²-4x-13
9x²-13x+9x-13
(9x²-13x)+(9x-13)
x(9x-13)+1(9x-13)
(9x-13)(x+1)

putting value of x in the equation

[9(2a-b)-13][2a-b+1]
(18a-9b-13)(2a-b+1)

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

- Abhinav Singh

Answer 2

Given Equation is 9(2a - b)^2 - 4(2a - b) - 13.

= > 9(2a^2 + b^2 - 2(2a)(b)) - 4(2a - b) - 13

= > 9(4a^2 + b^2 - 4ab) - 4(2a - b) - 13

= > 36a^2 + 9b^2 - 36ab - 8a + 4b - 13

= > 36a^2 - 36ab -  8a + 4b + 9b^2 - 13

= > 36a^2 - 18ab - 18ab + 18a - 26a - 9b + 13b + 9b^2 -  13

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

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



Hope this helps!