Factor -2y^2+12y-18

Math
-2y2+12y-18
Factor -2 out of -2y2+12y-18.
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Factor -2 out of -2y2.
-2(y2)+12y-18
Factor -2 out of 12y.
-2(y2)-2(-6y)-18
Factor -2 out of -18.
-2(y2)-2(-6y)-2(9)
Factor -2 out of -2(y2)-2(-6y).
-2(y2-6y)-2(9)
Factor -2 out of -2(y2-6y)-2(9).
-2(y2-6y+9)
-2(y2-6y+9)
Factor using the perfect square rule.
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Rewrite 9 as 32.
-2(y2-6y+32)
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
6y=2⋅y⋅3
Rewrite the polynomial.
-2(y2-2⋅y⋅3+32)
Factor using the perfect square trinomial rule a2-2ab+b2=(a-b)2, where a=y and b=3.
-2(y-3)2
-2(y-3)2
Factor -2y^2+12y-18

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