Question

How do you multiply `(t^2+5t)/(t+1)div(t+5)`?

Answer 1

`t/(t+1)`

Explanation:

With the statement `(t^2+5t)/(t+1) -: (t+5)`, let's first see that we can factor the numerator on the left-hand side. The other thing to notice is that when we have something in the form of `a/b -: c/d`, it can be restated as `a/b xx d/c`, and so:

`(t^2+5t)/(t+1) -: (t+5)/1`

`(t(t+5))/(t+1) xx 1/(t+5)`

And now we can cancel:

`(t(cancel(t+5)))/(t+1) xx 1/cancel(t+5)`

`t/(t+1)`