Question

How do you simplify `\frac { 750x ^ { 3} y ^ { 4} } { 10x y ^ { 2} }`?

Answer 1

You factorize, but you don't have to go all the way.

Explanation:

Let's see if you can do this:

`=((75xx10)xx (x xx x^2)xx(y^2xxy^2))/(10xx x xxy^2)`

If you get this, we can start canceling:

`=((75xxcancel10)xx (cancelx xx x^2)xx(cancel(y^2)xxy^2))/(cancel10xx cancelx xx cancel(y^2))`

`=75xxx^2xxy^2=75x^2y^2`