Question

How do you multiply `(6x)/10*(6x)/(3x^3)` and state the excluded values?

Answer 1

Like any fraction multiply the tops multiply the bottoms and divide out common factors.

Explanation:

`(6x)/10 xx (6x)/(3x^3) = (36x^2)/(30x^3)` factoring this gives.

`(36x^2)/ (30x^3) = ( 2 xx 3 xx 6 xx x^2)/ ( 2 xx 3 xx 5 xx x^2 xx x)`

dividing out the common factors of `( 2 xx 3 xx x^2)` leaves

`6/(5x)`