Factor 8y^2-30y+18

Math
8y2-30y+18
Factor 2 out of 8y2-30y+18.
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Factor 2 out of 8y2.
2(4y2)-30y+18
Factor 2 out of -30y.
2(4y2)+2(-15y)+18
Factor 2 out of 18.
2(4y2)+2(-15y)+2(9)
Factor 2 out of 2(4y2)+2(-15y).
2(4y2-15y)+2(9)
Factor 2 out of 2(4y2-15y)+2(9).
2(4y2-15y+9)
2(4y2-15y+9)
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=4⋅9=36 and whose sum is b=-15.
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Factor -15 out of -15y.
2(4y2-15(y)+9)
Rewrite -15 as -3 plus -12
2(4y2+(-3-12)y+9)
Apply the distributive property.
2(4y2-3y-12y+9)
2(4y2-3y-12y+9)
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
2((4y2-3y)-12y+9)
Factor out the greatest common factor (GCF) from each group.
2(y(4y-3)-3(4y-3))
2(y(4y-3)-3(4y-3))
Factor the polynomial by factoring out the greatest common factor, 4y-3.
2((4y-3)(y-3))
2((4y-3)(y-3))
Remove unnecessary parentheses.
2(4y-3)(y-3)
2(4y-3)(y-3)
Factor 8y^2-30y+18

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