SOLUTION: write rational in lowest terms? zw+4z-3w-12/zw+4z+5w+20 answer:z-3 /z+5 anyone know why the answer is z-3/z+5 with a full break down

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: write rational in lowest terms? zw+4z-3w-12/zw+4z+5w+20 answer:z-3 /z+5 anyone know why the answer is z-3/z+5 with a full break down       Log On

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Question 234975: write rational in lowest terms? zw+4z-3w-12/zw+4z+5w+20


answer:z-3 /z+5
anyone know why the answer is z-3/z+5 with a full break down
Answer by stanbon(57290) About Me  (Show Source):
You can put this solution on YOUR website!
write rational in lowest terms?
zw+4z-3w-12/zw+4z+5w+20
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Factor numerator and denominator to get:
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[z(w+4)-3(w+4)] / [z(w+4)+5(w+4)]
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= [(w+4)(z-3)] / [(w+4)/(z+5)]
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Cancel the common factor , (x+4) to get:
=(z-3)/(z+5)
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Cheers,
Stan H.