If 14x2y3 is a factor of 56x4y3 - 42x2y6 what is the other factor?

The first step is usually to find the greatest common factor (GCF). However, since you already have the GCF, you need the other term. So you can divide each term by 14x2y3.

56x4y3 - 42x2y6

(56x4y3/14x2y3) - (42x2y6/14x2y3)

When dividing variables with exponents, you subtract.

4x2y0 - 3x0y3

Any variable or number raised to a power of zero equals 1 (g0 = 1 or 170= 1)

(4x2 x 1) - (3 x 1 x y3) =4x2 - 3y3