Algebra Examples

$(m + n) (a - 2) + (m - n) (a - 2)$

Step 1

Factor $a - 2$ out of $(m + n) (a - 2) + (m - n) (a - 2)$ .

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Step 1.1

Factor $a - 2$ out of $(m + n) (a - 2)$ .

$(a - 2) (m + n) + (m - n) (a - 2)$

Step 1.2

Factor $a - 2$ out of $(m - n) (a - 2)$ .

$(a - 2) (m + n) + (a - 2) (m - n)$

Step 1.3

Factor $a - 2$ out of $(a - 2) (m + n) + (a - 2) (m - n)$ .

$(a - 2) (m + n + m - n)$

Step 2

Add $m$ and $m$ .

$(a - 2) (2 m + n - n)$

Step 3

Subtract $n$ from $n$ .

$(a - 2) (2 m + 0)$

Step 4

Factor.

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Step 4.1

Add $2 m$ and $0$ .

$(a - 2) (2 m)$

Step 4.2

Remove unnecessary parentheses.

$(a - 2) \cdot 2 m$