Simplifying, Multiplying, and Dividing Rational Expressions

Each of the problems below is a link. If you click on the problem, it will take you to a YouTube video of a full, step-by-step solution for the problem. You may try these problems as practice and use the videos to check your answer, or you can just watch the videos to see more worked-out example problems.

Simplify the fraction with numerator x squared minus 2x and denominator x squared minus 4x + 4
Simplify the fraction with numerator 10 and denominator 2x + 10
Simplify the fraction with numerator 3y minus 2 and denominator 6y minus 4
Simplify the fraction with numerator 12x squared and denominator 8x cubed
Multiply and simplify, if possible: the fraction with numerator x squared minus 3x and denominator x squared minus 4x, times the fraction with numerator x squared minus 16 and denominator x squared minus 9
Multiply and simplify, if possible: the fraction with numerator y squared minus 64 and denominator y squared minus 3y minus 40, times the fraction with numerator y + 5 and denominator y
Multiply and simplify, if possible: the fraction with numerator 3x minus 3y and denominator x, times the fraction with numerator x squared plus x y and denominator x squared minus y squared
Multiply and simplify, if possible: the fraction with numerator x and denominator x squared plus 2x, times left paren 2x + 4 right paren
Divide and simplify, if possible: the fraction with numerator x squared minus 4x + 3 and denominator x squared minus 3x + 2, divided by the fraction with numerator x minus 3 and denominator x
Divide and simplify, if possible: the fraction with numerator x squared minus x minus 6 and denominator 2x squared + 11x + 14, divided by the fraction with numerator x squared minus 36 and denominator 2x squared + 19x + 42
Divide and simplify, if possible: left paren 3x + 12 right paren, divided by the fraction with numerator x squared minus 16 and denominator x minus 4
Divide and simplify, if possible: the fraction with numerator x squared minus 9x and denominator x squared, divided by left paren x minus 9 right paren squared