Question

How do you simplify `((x^3(y)/(xy^2))*((3x^2(y))/(8x^3))`?

Answer 1

`(x^3y/(xy^2)) * (3x^2y)/(8x^3) = (3x)/8`

Explanation:

`(x^3y/(xy^2)) * (3x^2y)/(8x^3)`

`=color(red)((x^3*y)/(x*y*y))* color(blue)((3*x*x*y)/(8*x^3))`

`=color(red)((cancel(x^3)*y)/(x*y*y))* color(blue)((3*x*x*y)/(8*cancel(x^3)))`

`=color(red)((y)/(cancel(x) * y * y)) * color(blue)((3 * cancel(x) * x * y)/(8))`

`=color(red)(cancel(y))/(cancel(y) * cancel(y)) * color(blue)((3 * x * cancel(y)))/(8)`

`= (3x)/8`