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

Question

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

anonymous · Answer

attachment

anonymous · Answer

Can someone please help me i really need help

callisto · Answer

$$(\frac{x}{x-4} + \frac{6}{x+4})  ÷ \frac{ 3}{2x^2 - 32}$$$$=(\frac{x(x+4)}{(x-4)(x+4)} + \frac{6(x-4)}{(x+4)(x-4)})  ÷ \frac{ 3}{2(x^2 - 16)}$$$$=\frac{x^2+4x+6x-24}{(x-4)(x+4)}   ÷ \frac{ 3}{2(x-4)(x+4)}$$$$=\frac{(x+12)(x-2)}{(x-4)(x+4)}   \times \frac{2(x-4)(x+4)}{ 3}$$Now, can  you cancel the common factors to simplify the expression?

anonymous · Answer

2x^2 + 20x - 48/3

callisto · Answer

Oh... if you need to expand the term, then that's it!~