Factor y^3+18y^2+81y

Math
y3+18y2+81y
Factor y out of y3+18y2+81y.
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Factor y out of y3.
y⋅y2+18y2+81y
Factor y out of 18y2.
y⋅y2+y(18y)+81y
Factor y out of 81y.
y⋅y2+y(18y)+y⋅81
Factor y out of y⋅y2+y(18y).
y(y2+18y)+y⋅81
Factor y out of y(y2+18y)+y⋅81.
y(y2+18y+81)
y(y2+18y+81)
Factor using the perfect square rule.
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Rewrite 81 as 92.
y(y2+18y+92)
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
18y=2⋅y⋅9
Rewrite the polynomial.
y(y2+2⋅y⋅9+92)
Factor using the perfect square trinomial rule a2+2ab+b2=(a+b)2, where a=y and b=9.
y(y+9)2
y(y+9)2
Factor y^3+18y^2+81y

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