
1) Let's simplify those expressions making use of exponents rules:

Note that the exponent outside the parenthesis is 'distributed' over each term inside.
2) Similarly for the second expression we can state that:
First find the secant line. The slope of the secant line through

(when

) and

(when

) is the average rate of change of

over the interval
![[-1,2]](https://tex.z-dn.net/?f=%5B-1%2C2%5D)
:

The tangent line to

will have a slope determined by the derivative:

Both the secant and tangent will have the same slope when

, or when

.