Question

How do you factor `xy³ - 49xyz²`?

Answer 1

Both terms have `x` and `y` as common factors, so `xy^3-49xyz^2=xy(y^2-49z^2)`. But `y^2-49z^2` is the difference of two squares. The final answer is:

`xy^3-49xyz^2=xy(y-7z)(y+7z)`