Perform the indicated operation and simplify?

(4x)/(x-2)+(8)/(x+2)

2 answers

you need a common denominator of (x-2)(x+2)

[4x(x+2) + 8(x-2) ]/[(x+2)(x-2)]
= (4x^2 + 8x + 8x - 16)/(x^2 - 4)
= (4x^2 + 16x - 16)/(x^2-4)
= 4(x^2 + 4x - 4)/(x^2-4)
3X(3+7X2)
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