Factor 60y^2-10y-120

Math
60y2-10y-120
Factor 10 out of 60y2-10y-120.
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Factor 10 out of 60y2.
10(6y2)-10y-120
Factor 10 out of -10y.
10(6y2)+10(-y)-120
Factor 10 out of -120.
10(6y2)+10(-y)+10(-12)
Factor 10 out of 10(6y2)+10(-y).
10(6y2-y)+10(-12)
Factor 10 out of 10(6y2-y)+10(-12).
10(6y2-y-12)
10(6y2-y-12)
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=6⋅-12=-72 and whose sum is b=-1.
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Factor -1 out of -y.
10(6y2-(y)-12)
Rewrite -1 as 8 plus -9
10(6y2+(8-9)y-12)
Apply the distributive property.
10(6y2+8y-9y-12)
10(6y2+8y-9y-12)
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
10((6y2+8y)-9y-12)
Factor out the greatest common factor (GCF) from each group.
10(2y(3y+4)-3(3y+4))
10(2y(3y+4)-3(3y+4))
Factor the polynomial by factoring out the greatest common factor, 3y+4.
10((3y+4)(2y-3))
10((3y+4)(2y-3))
Remove unnecessary parentheses.
10(3y+4)(2y-3)
10(3y+4)(2y-3)
Factor 60y^2-10y-120

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