Factorise Fully 7(x-2)^(2) + 28(x-2)

Question

Factorise Fully


`7(x-2)^(2) + 28(x-2)`

Answer 1

=7x^2−28

Explanation:

Let's simplify step-by-step.

7(x−2)2+28(x−2)

Distribute:

=7x2+−28x+28+(28)(x)+(28)(−2)

=7x2+−28x+28+28x+−56

Combine Like Terms:

=7x2+−28x+28+28x+−56

=(7x2)+(−28x+28x)+(28+−56)

=7x2+−28

Answer 2

7(x-2)(x+2)

Explanation:

7( x - 2 )² + 28 ( x - 2 )

7(x² -4x + 4) +28x -56

7x²-28x+28+28x-56

7x²-28

7(x²-4)

7(x-2)(x+2)