SOLUTION: simplify. {{{ (y-2)/(-2x^2-10y) * (4y^2+20y)/(y^2-4) }}} these are both fractions

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: simplify. {{{ (y-2)/(-2x^2-10y) * (4y^2+20y)/(y^2-4) }}} these are both fractions      Log On


   

Question 455543: simplify.
+%28y-2%29%2F%28-2x%5E2-10y%29+%2A+%284y%5E2%2B20y%29%2F%28y%5E2-4%29+


these are both fractions
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(y-2)/(-2x^2-10y) * (4y^2+20y)/(y^2-4)
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Factor:
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(y-2)/(-2(x^2+5y)) * (4y(y+5))/((y-2)(y+2))
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Cancel factors common a numerator and a denominator:
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= (1)/(-(x^2+5y)) * (2y(y+5))/((1)(y+2))
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= (2y(y+5))/[-x^2+5y)(y+2)]
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Cheers,
Stan H.