(10y)/(y^2-3y-18) : (5y)/(4y-24)

Question

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Answer 1

QUESTION: Simplify (10y)/(y^2-3y-18) : (5y)/(4y-24) .

The expreession A : B is equivalent to A / B.

And, (10y)/(y^2-3y-18) = (10y)/{(y+6)}

And, (5y)/(4y-24) = (5y)/{4(y-6)}

So, (10y)/(y^2-3y-18) : (5y)/(4y-24) is equivalent to (10y)/{(y+3)(y-6)} / (5y)/{4(y-6)}

(10y)/{(y+3)(y-6)} / (5y)/{4(y-6)} = (10y)/{(y+3)(y-6)} * {4(y-6)}/(5y) ={(10y)*4(y-6)} / {(y+3)(y-6)} *(5y)}

(10y)/{(y+3)(y-6)} / (5y)/{4(y-6)} = {2*4} / (y+3)

Answer: 8/(y+3)