Algebra Examples

$n^{2} + 2 (n m) + m^{2} + 9 n^{2} - 6 (n m) + m^{2}$

Step 1

Remove parentheses.

$n^{2} + 2 n m + m^{2} + 9 n^{2} - 6 n m + m^{2}$

Step 2

Simplify by adding terms.

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Step 2.1

Add $n^{2}$ and $9 n^{2}$ .

$10 n^{2} + 2 n m + m^{2} - 6 n m + m^{2}$

Step 2.2

Subtract $6 n m$ from $2 n m$ .

$10 n^{2} + m^{2} - 4 n m + m^{2}$

Step 2.3

Add $m^{2}$ and $m^{2}$ .

$10 n^{2} + 2 m^{2} - 4 n m$