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 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