Answer:
I guess we want to find where is the mistake of Mable, so let's do the steps in the same way as her:
(4x - 3)*(x - 2)^2
1) (4x - 3)*(x - 2)*(x - 2)
2) (4x - 3)*(x^2 - 2*x - 2*x + 4)
3) (4x - 3)*(x^2 - 4*x + 4)
4) 4*x^3 - 16*x^2 + 16*x - 3*x^2 - 12*x - 12
This is different than what she did, she instead of multiplying the terms without x, (-3*4 = -12) she got a -1 there.
If we simplify the above equation we get:
4*x^3 - 16*x^2 + 16*x - 3*x^2 - 12*x - 12
= 4*x^3 + (-16*x^2 - 3*x^2) + (16*x - 12*x) - 12
= 4*x^3 - 19*x^2 + 4*x - 12
