SOLUTION: please help me to understand how to do this {{{(y^2-y-42)/(14+5y-y^2)}}}

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Question 16519: please help me to understand how to do this
%28y%5E2-y-42%29%2F%2814%2B5y-y%5E2%29
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
It helps if you know something about factoring trinomial expressions.
Let's start with the numerator and factor that.
y%5E2+-+y+-+42+=+%28y+-+7%29%28y+%2B+6%29
Now the denominator.
14+%2B+5y+-+y%5E2+=+%282+%2B+y%29%287+-+y%29 Now back to the problem only we'll the factored forms.
%28%28y+-+7%29%28y+%2B+6%29%29%2F%282+%2B+y%29%287+-+y%29 It's a little hard to see what will cancel so we'll rewrite the denominator.
%28%28y+-+7%29%28y+%2B+6%29%29%2F%28-1%29%28y+%2B+2%29%28y+-+7%29 Cancel the (y - 7)'s
-%28y+%2B+6%29%2F%28y+%2B+2%29