Question

Factorise: 4x^2 -9(2x-y)^2​

Answer 1

Answer:

First take      4x^2 - y^2 - 3xy   or    [4 (x/y)^2 - 3 (x/y)  - 1] * y^2

                     [ 4 x/y  + 1 ] [ x/y  - 1 * y^2

                     ( 4x + y)  (x - y)

So LET   4 x^2 - y^2 - 3 x y + 2 x - 2 y

                              =  (4x + y + b) (x - y + c)

  Multiply and  compare coefficients, we get   b = 2,  c = 0

So answer   (4x + y +2 ) (x - y)

Step-by-step explanation:

hope this helps you!!

Answer 2

Step-by-step explanation:

=4x^2-(2x-y)^2

=4x^2-(4x^2-y^2)

=4x^2-4x^2+y^2

=y^2