Basic Math Examples

$(m^{3} - p^{3}) \div (m - p)$

Step 1

Rewrite the division as a fraction.

$\frac{m^{3} - p^{3}}{m - p}$

Step 2

Since both terms are perfect cubes, factor using the difference of cubes formula, $a^{3} - b^{3} = (a - b) (a^{2} + a b + b^{2})$ where $a = m$ and $b = p$ .

$\frac{(m - p) (m^{2} + m p + p^{2})}{m - p}$

Step 3

Cancel the common factor of $m - p$ .

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Step 3.1

Cancel the common factor.

$\frac{(m - p) (m^{2} + m p + p^{2})}{m - p}$

Step 3.2

Divide $m^{2} + m p + p^{2}$ by $1$ .

$m^{2} + m p + p^{2}$