SOLUTION: Multiplying Rational Expressions: Multiply and simplify. {{{ (16-y^2)/(y^2-2y-8) }}} * {{{ (3y^2-5y-2)/(y^2-6y+8) }}}

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: Multiplying Rational Expressions: Multiply and simplify. {{{ (16-y^2)/(y^2-2y-8) }}} * {{{ (3y^2-5y-2)/(y^2-6y+8) }}}      Log On

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Question 72359: Multiplying Rational Expressions:
Multiply and simplify.
+%2816-y%5E2%29%2F%28y%5E2-2y-8%29+ * +%283y%5E2-5y-2%29%2F%28y%5E2-6y%2B8%29+
Answer by Cintchr(475) About Me  (Show Source):
You can put this solution on YOUR website!
+%2816-y%5E2%29%2F%28y%5E2-2y-8%29+ * +%283y%5E2-5y-2%29%2F%28y%5E2-6y%2B8%29+
First ... factor all parts of these fractions
+%28%284-y%29%284%2By%29%29%2F%28%28y-4%29%28y%2B2%29%29+ * +%28%283y%2B1%29%28y-2%29%29%2F%28%28y-4%29%28y-2%29%29+
Now since we are multiplying, we can combine the two fractions into one large one by combining the numerators and the denominators
+%28%284-y%29%284%2By%29%283y%2B1%29%28y-2%29%29%2F%28%28y-4%29%28y%2B2%29%28y-4%29%28y-2%29%29+
Cancel the (y-2) in the numerator and denominator
+%28%284-y%29%284%2By%29%283y%2B1%29%29%2F%28%28y-4%29%28y%2B2%29%28y-4%29%29+
Factor out a -1 in the FIRST term of the numerator
+%28-1%28-4%2By%29%284%2By%29%283y%2B1%29%29%2F%28%28y-4%29%28y%2B2%29%28y-4%29%29+
Since addition is commutative, -4+y is now y-4.
+%28-1%28y-4%29%284%2By%29%283y%2B1%29%29%2F%28%28y-4%29%28y%2B2%29%28y-4%29%29+
Cancel the y-4 in the numerator and denominator.
+%28-1%284%2By%29%283y%2B1%29%29%2F%28%28y-4%29%28y%2B2%29%29+
This is as simple as you can get. If your instructor wants ... you may need to multiply and come out with a Trinomial in the numerator and denominator.