SOLUTION: Subtract and simplify completely: 4y^2-x^2 over x-y subtract -3y^2 over y-x

Question 133506: Subtract and simplify completely:
4y^2-x^2 over x-y subtract -3y^2 over y-x
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

The trick on this one is to note that , so you can write:

Now that you have the same denominator in both fractions, you can simply add the numerators:

Now combine like terms:

Now you have the difference of two squares in your numerator, so factor it:

Again note that , so , and now you can write:

or if you prefer.
RELATED QUESTIONS
Simplify completely: y over x - x over y divided by 2 over y -2 over... (answered by ankor@dixie-net.com)

Multiply and subtract:... (answered by MathLover1)

Simplify y^2+4y +4 over... (answered by Edwin McCravy)