Question

Simplify the following expression show all of your work:
x/x-4 + 6/x+4 ÷ 3/2x^2 - 32

Answer 1

\[\frac{x}{x-4} + \frac{6}{x+4} ÷ \frac{3}{2x^2 - 32}\]What is the LCD of the first two terms?

Answer 2

x-4 & x+4?

Answer 3

u still here

Answer 4

Sorry, had to make dinner for the family. Yes, that is LCD so expression would now be\[\frac{x(x+4)+6(x-4)}{(x-4)(x+4)}\times \frac{2(x^2-16)}{3}\]Do you know what the factors of (x^2-16) are?

Answer 5

Hint:\[x^2-c^2=(x+c)(x-c)\]