Algebra Examples

$a m^{2} - a n^{2} + a^{2} m n$

Step 1

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

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Step 1.1

Factor $a$ out of $a m^{2}$ .

$a (m^{2}) - a n^{2} + a^{2} m n$

Step 1.2

Factor $a$ out of $- a n^{2}$ .

$a (m^{2}) + a (- 1 n^{2}) + a^{2} m n$

Step 1.3

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

$a (m^{2}) + a (- 1 n^{2}) + a (a m n)$

Step 1.4

Factor $a$ out of $a (m^{2}) + a (- 1 n^{2})$ .

$a (m^{2} - 1 n^{2}) + a (a m n)$

Step 1.5

Factor $a$ out of $a (m^{2} - 1 n^{2}) + a (a m n)$ .

$a (m^{2} - 1 n^{2} + a m n)$

Step 2

Rewrite $- 1 n^{2}$ as $- n^{2}$ .

$a (m^{2} - n^{2} + a m n)$