# Factor 48y^3+6y^2-9y 48y3+6y2-9y
Factor 3y out of 48y3+6y2-9y.
Factor 3y out of 48y3.
3y(16y2)+6y2-9y
Factor 3y out of 6y2.
3y(16y2)+3y(2y)-9y
Factor 3y out of -9y.
3y(16y2)+3y(2y)+3y(-3)
Factor 3y out of 3y(16y2)+3y(2y).
3y(16y2+2y)+3y(-3)
Factor 3y out of 3y(16y2+2y)+3y(-3).
3y(16y2+2y-3)
3y(16y2+2y-3)
Factor.
Factor by grouping.
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=16⋅-3=-48 and whose sum is b=2.
Factor 2 out of 2y.
3y(16y2+2(y)-3)
Rewrite 2 as -6 plus 8
3y(16y2+(-6+8)y-3)
Apply the distributive property.
3y(16y2-6y+8y-3)
3y(16y2-6y+8y-3)
Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
3y((16y2-6y)+8y-3)
Factor out the greatest common factor (GCF) from each group.
3y(2y(8y-3)+1(8y-3))
3y(2y(8y-3)+1(8y-3))
Factor the polynomial by factoring out the greatest common factor, 8y-3.
3y((8y-3)(2y+1))
3y((8y-3)(2y+1))
Remove unnecessary parentheses.
3y(8y-3)(2y+1)
3y(8y-3)(2y+1)
Factor 48y^3+6y^2-9y

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