Question

Find the difference. (7)/(x^(2)-8x)-(2)/(x^(2)-64) Enter the correct answer.

Answer 1

Hi,

Explanation:

We are going to reduce to the same denominator: x(x-8)(x+8)

7/(x²-8x)-2/(x²-64)

=7/(x*(x-8)) - 2/((x-8)(x+8))

=7*(x+8)/ (x*(x-8)(x+8))-2*x/(x*(x-8)(x+8))

=(7x+56-2x)/(x(x-8)(x+8))

=(5x-56)/(x(x+8)(x-8))