Simplify. Assume that all variables result in nonzero denominators.

Question

(5)/(x^(2)6x-16)-(2)/(x^(2)-4)

Answer 1

1) [ 5 / (x²+6x-16) ] - [ 2 / (x²-4) ]

2) [ 5 / ( (x+8)•(x-2)) ] - [2 / ((x+2)•(x-2))]

3) [ (5 • (x+2)) / ( (x+8)•(x-2)•(x+2)) ] - [ (2•(x+8)) / ((x+2)•(x-2)•(x+8)) ]

4) [(5x+10) - (2x+16)] / ( (x+8)•(x-2)•(x+2))

5) (3x-6) / ( (x+8)•(x-2)•(x+2))

6) 3(x-2) / ( (x+8)•(x-2)•(x+2))

7) 3 / ((x+8)•(x+2))