SOLUTION: Multiplication and Division of Rational Expressions Multiply. (7a^2x-4a^2) (5b^6y+6b^6) ___________ ____ * ___________ ____ (5by+6b )

Algebra ->  Expressions-with-variables -> SOLUTION: Multiplication and Division of Rational Expressions Multiply. (7a^2x-4a^2) (5b^6y+6b^6) ___________ ____ * ___________ ____ (5by+6b )       Log On


   

Question 735428: Multiplication and Division of Rational Expressions
Multiply.
(7a^2x-4a^2) (5b^6y+6b^6)
________________ * ________________
(5by+6b ) (7ax-4a)
The numbers separated on the right should be above and below the right equation line.
Answer by Susan-math(40) About Me  (Show Source):
You can put this solution on YOUR website!
First factor everything:
7a%5E2%2Ax-4a%5E2=a%5E2%2A%287x-4%29
5b%5E6%2Ay%2B6b%5E6=b%5E6%285y%2B6%29
5by%2B6b=b%2A%285y%2B6%29
7ax-4a=a%287x-4%29
Cancel common factors in the numerator: a%5E2%2A%287x-4%29%2Ab%5E6%2A%285y%2B6%29
And denominator b%2A%285y%2B6%29%2Aa%2A%287x-4%29
Gives a%2Ab%5E5