(x+3)/(x^2-2x-8)- (x-5)/(x^2-12x+32)
3 answers
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I will take a giant leap of faith and assume you want it simplified,
(x+3)/(x^2-2x-8)- (x-5)/(x^2-12x+32)
= (x+3)/((x-4)(x+2)) - (x-5)/((x-4)(x-8))
LCD is (x-4)(x+2)(x-8)
= [(x+3)(x-8) - (x-5)(x+2)]/((x-4)(x+2)(x-8) )
= ...
expand the top and simplify / (x-4)(x+2)(x-8)
(x+3)/(x^2-2x-8)- (x-5)/(x^2-12x+32)
= (x+3)/((x-4)(x+2)) - (x-5)/((x-4)(x-8))
LCD is (x-4)(x+2)(x-8)
= [(x+3)(x-8) - (x-5)(x+2)]/((x-4)(x+2)(x-8) )
= ...
expand the top and simplify / (x-4)(x+2)(x-8)