How do you simplify (m-2)/(m-5)*(m+5)/(m-2)?

Jul 25, 2015

You cancel out the terms common to the nominator and to the denominator.

Explanation:

Notice that you initial expression has $\left(m - 2\right)$ as the numerator of the first fraction and as the denominator of the second fraction.

This means that you can cancel out this term to get

$\frac{\cancel{m - 2}}{m - 5} \cdot \frac{m + 5}{\cancel{m - 2}} = \textcolor{g r e e n}{\frac{m + 5}{m - 5}}$

And that is how your simplified expression looks like.