Factor 2y^3+15y^2+25y

Math
2y3+15y2+25y
Factor y out of 2y3+15y2+25y.
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Factor y out of 2y3.
y(2y2)+15y2+25y
Factor y out of 15y2.
y(2y2)+y(15y)+25y
Factor y out of 25y.
y(2y2)+y(15y)+y⋅25
Factor y out of y(2y2)+y(15y).
y(2y2+15y)+y⋅25
Factor y out of y(2y2+15y)+y⋅25.
y(2y2+15y+25)
y(2y2+15y+25)
Factor.
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Factor by grouping.
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For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=2⋅25=50 and whose sum is b=15.
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Factor 15 out of 15y.
y(2y2+15(y)+25)
Rewrite 15 as 5 plus 10
y(2y2+(5+10)y+25)
Apply the distributive property.
y(2y2+5y+10y+25)
y(2y2+5y+10y+25)
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
y((2y2+5y)+10y+25)
Factor out the greatest common factor (GCF) from each group.
y(y(2y+5)+5(2y+5))
y(y(2y+5)+5(2y+5))
Factor the polynomial by factoring out the greatest common factor, 2y+5.
y((2y+5)(y+5))
y((2y+5)(y+5))
Remove unnecessary parentheses.
y(2y+5)(y+5)
y(2y+5)(y+5)
Factor 2y^3+15y^2+25y

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