SOLUTION: Write in simplest form. (Rational Expressions) x^2-9y^2 / 3x^2-10xy+3y^2 ÷ x^3+27y^3/x^2-6xy+9y^2

Algebra ->  Rational-functions -> SOLUTION: Write in simplest form. (Rational Expressions) x^2-9y^2 / 3x^2-10xy+3y^2 ÷ x^3+27y^3/x^2-6xy+9y^2       Log On


   

Question 375244: Write in simplest form.
(Rational Expressions)
x^2-9y^2 / 3x^2-10xy+3y^2 ÷ x^3+27y^3/x^2-6xy+9y^2


Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify first,
x%5E2-9y%5E2=%28x-3y%29%28x%2B3y%29
3x%5E2-10xy%2B3y%5E2=%28x-3y%29%283x-y%29
x%5E3%2B27y%5E3=%28x%2B3y%29%28x%5E2-3xy%2B9y%5E2%29
x%5E2-6xy%2B9y%5E2+=%28x-3y%29%5E2
So then,

%28x%5E2-9y%5E2%29%2F%283x%5E2-10xy%2B3y%5E2%29=%28x%2B3y%29%2F%283x-y%29
and

and finally,

.
.