SOLUTION: Can someone help me solve please! Rational Expression x^2 -8x+15/(3x-15) ___________ ____ x^2-3x

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Can someone help me solve please! Rational Expression x^2 -8x+15/(3x-15) ___________ ____ x^2-3x      Log On


   

Question 36361: Can someone help me solve please!
Rational Expression
x^2 -8x+15/(3x-15)
________________
x^2-3x
Answer by elima(1433) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28x%5E2+-8x%2B15%29%2F%283x-15%29%29%2F%28x%5E2-3x%29%29
First factor the numerator and factor out the 3in the denominator
%28%28x-3%29%28x-5%29%2F%283%28x-5%29%29%29%2F%28x%5E2-3x%29
Now cancel the x-5 in both the numerator anddenominator;
%28%28x-3%29%2F3%29%2F%28x%5E2-3x%29
factor out the x in the denominator;
%28%28x-3%29%2F3%29%2F%28x%28x-3%29%29
When we divide fractions, we multiply the first by the reciprocal of the second;
%28x-3%29%2F3 * 1%2Fx%28x-3%29;
cross cancel x-3;
1%2F3x
=)