Basic Math Examples

$m^{4} m^{2} n^{2} + n^{4}$

Step 1

Factor $n^{2}$ out of $m^{4} m^{2} n^{2} + n^{4}$ .

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Step 1.1

Factor $n^{2}$ out of $m^{4} m^{2} n^{2}$ .

$n^{2} (m^{4} m^{2}) + n^{4}$

Step 1.2

Factor $n^{2}$ out of $n^{4}$ .

$n^{2} (m^{4} m^{2}) + n^{2} n^{2}$

Step 1.3

Factor $n^{2}$ out of $n^{2} (m^{4} m^{2}) + n^{2} n^{2}$ .

$n^{2} (m^{4} m^{2} + n^{2})$

Step 2

Multiply $m^{4}$ by $m^{2}$ by adding the exponents.

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Step 2.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$n^{2} (m^{4 + 2} + n^{2})$

Step 2.2

Add $4$ and $2$ .

$n^{2} (m^{6} + n^{2})$