SOLUTION: Rewrite the rational expression as an equivalent expression rational expression whose denominator is the given polynomial. 4y-3 ? -------- = -------- 15x^2-30 30x^2

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Question 949773: Rewrite the rational expression as an equivalent expression rational expression whose denominator is the given polynomial.
4y-3 ?
-------- = --------
15x^2-30 30x^2-60
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
%284y-3%29+%2F%2815x%5E2-30%29=n%2F%2830x%5E2-60%29... if you look closely at denominators you see that coefficient and constant of %2830x%5E2-60%29 is two times greater then %2815x%5E2-30%29; so, to have left side of equation same as right side, all you need is two multiply numerator %284y-3%29 by 2 and you will get a numerator n which will be 2%284y-3%29=8y-6-equivalent expression
so, the rational expression is:
%284y-3%29+%2F%2815x%5E2-30%29=%288y-6%29%2F%2830x%5E2-60%29


or, you can solve it using proportion rules:

%284y-3%29+%2F%2815x%5E2-30%29=n%2F%2830x%5E2-60%29

n=%28%284y-3%29+%2F%2815x%5E2-30%29%29%2830x%5E2-60%29

n=%284y-3%29+%2F%2815%28x%5E2-2%29%2930%28x%5E2-2%29



n=2%284y-3%29+%2F1

n=%288y-6%29
answer is:
%284y-3%29+%2F%2815x%5E2-30%29=%288y-6%29+%2F%2830x%5E2-60%29