Question 856430
{{{(24y^2/(x^2+10x+25))/(36y/(x^2+5x))}}}
= {{{(24y^2/(x^2+10x+25))*((x^2+5x)/36y)}}}
= {{{(2y/(x^2+10x+25))*((x^2+5x)/3)}}}
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= {{{(2y/(x+5))*(x/3)}}}
= {{{2xy/(3x+15)}}}
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Your answer is right, but more canceling can be done.