Question
Perform each indicated operation. See Examples 2 through $8 .$$$\text { Simplify: } \frac{m^{3}-n^{3}}{m-n}$$
Step 1
The formula is $a^3 - b^3 = (a - b)(a^2 + ab + b^2)$. Here, $a = m$ and $b = n$. So, we can rewrite the expression as: $$ \frac{m^{3}-n^{3}}{m-n} = \frac{(m-n)(m^{2}+mn+n^{2})}{m-n} $$ Show more…
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