Question

How do you divide `\frac { t ^ { 2} - 49} { t ^ { 2} + 49} \div \frac { t + 7} { 2}`?

Answer 1

I tried this:

Explanation:

We can change it into a product manipulating the second fraction as:
`(t^2-49)/(t^2+49)xxcolor(red)(2/(t+7))=`
we expand the numerator of the first fraction as:
`((t+7)(t-7))/(t^2+49)xx2/(t+7)=`
we simplify:
`(cancel((t+7))(t-7))/(t^2+49)xx2/cancel((t+7))=2(t-7)/(t^2+49)`