Question

simplify:
y^2-7y-18/y^2-4y-12 divided by y^2+8y+15/y^2-y-30

Answer 1

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Answer 2

y^2-7y-18/y^2-4y-12 = (y+2)(y-9) / (y+2)(y-6) = (y-9)/(y-6)
y^2+8y+15/y^2-y-30 = (y+3)(y+5) / (y+5)(y-6) = (y+3)/(y-6)
therefore y^2-7y-18/y^2-4y-12 divided by y^2+8y+15/y^2-y-30
= [(y-9)/(y-6)] / [ (y+3)/(y-6)] = (y-9)/(y+3)