How do you factor #14x^2y^3+5xy^3-9y^3#?

1 Answer
Apr 6, 2018

#y^3(14x^2+5x-9)#

Here's how I did it:

Explanation:

To factorize something, you have to find everything that all the expressions have in common. That means we need to find the GCF (Greatest Common Factor) of all expressions.

#14x^2y^3+5xy^3-9y^3#

We can see that they all have #y^3#, meaning we can factor that out.

If we factor out #y^3#, what we have left over is:
#14x^2+5x-9#

So finally we write it like this:
#y^3(14x^2+5x-9)#

Hope this helps!