# Factor 16t^3-4t^2y-2ty^2

16t3-4t2y-2ty2
Factor 2t out of 16t3-4t2y-2ty2.
Factor 2t out of 16t3.
2t(8t2)-4t2y-2ty2
Factor 2t out of -4t2y.
2t(8t2)+2t(-2ty)-2ty2
Factor 2t out of -2ty2.
2t(8t2)+2t(-2ty)+2t(-1y2)
Factor 2t out of 2t(8t2)+2t(-2ty).
2t(8t2-2ty)+2t(-1y2)
Factor 2t out of 2t(8t2-2ty)+2t(-1y2).
2t(8t2-2ty-1y2)
2t(8t2-2ty-1y2)
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=8⋅-1=-8 and whose sum is b=-2.
Reorder terms.
2t(8t2-1y2-2ty)
Reorder -1y2 and -2ty.
2t(8t2-2ty-1y2)
Factor -2 out of -2ty.
2t(8t2-2(ty)-1y2)
Rewrite -2 as 2 plus -4
2t(8t2+(2-4)(ty)-1y2)
Apply the distributive property.
2t(8t2+2(ty)-4(ty)-1y2)
Remove unnecessary parentheses.
2t(8t2+2ty-4(ty)-1y2)
Remove unnecessary parentheses.
2t(8t2+2ty-4ty-1y2)
2t(8t2+2ty-4ty-1y2)
Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
2t((8t2+2ty)-4ty-1y2)
Factor out the greatest common factor (GCF) from each group.
2t(2t(4t+y)-y(4t+y))
2t(2t(4t+y)-y(4t+y))
Factor the polynomial by factoring out the greatest common factor, 4t+y.
2t((4t+y)(2t-y))
2t((4t+y)(2t-y))
Remove unnecessary parentheses.
2t(4t+y)(2t-y)
2t(4t+y)(2t-y)
Factor 16t^3-4t^2y-2ty^2

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