Question

simplify the following expression. show your work [x/(x-4)+6/(x+4)]/3/(2x^2-32)

Answer 1

well simplify the numerator by having a common denominator

\[\frac{x}{x -4} + \frac{6}{x+4} = \frac{x(x+4) + 6(x -4)}{(x+4)(x - 4}\]

you need to simplify the numerator

the denominator of your algebraic faction can be simplified to

\[\frac{3}{2(x-4)(x+4)}\]

find the reciprocal of the denominator and multiply

\[\frac{x(x+4) +6(x-4)}{(x+4)(x-4)} \times \frac{2(x-4)(x+4)}{3}\]

just cancel common factors and simplify

Answer 2

thank you so much