Simplify (5y^2-10y)/(y^2+y-6)

Math
5y2-10yy2+y-6
Factor 5y out of 5y2-10y.
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Factor 5y out of 5y2.
5y(y)-10yy2+y-6
Factor 5y out of -10y.
5y(y)+5y(-2)y2+y-6
Factor 5y out of 5y(y)+5y(-2).
5y(y-2)y2+y-6
5y(y-2)y2+y-6
Factor y2+y-6 using the AC method.
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Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is -6 and whose sum is 1.
-2,3
Write the factored form using these integers.
5y(y-2)(y-2)(y+3)
5y(y-2)(y-2)(y+3)
Cancel the common factor of y-2.
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Cancel the common factor.
5y(y-2)(y-2)(y+3)
Rewrite the expression.
5yy+3
5yy+3
Simplify (5y^2-10y)/(y^2+y-6)

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