Question

Can someone show me how to figure this out?

If f(x)=2x^2-4x-3 and g(x)=(x-4)(x+4), find f(x)-g(x).

4x+13
x^2-4x+13
3x^2-4x+13
-4x^2-4x+13

Answer 1

well, (x-4)(x+4) is a perfect square, so we know that it is x^2-16 and from that we can simply subtract
2x^2-4x-3-x^2+16
=
x^2-4x+13

Answer 2

Thank you!