Algebra Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

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

$(m - n) (x^{2} + 2) + (m - n) \cdot 2$

Step 1.3

Factor $m - n$ out of $(m - n) (x^{2} + 2) + (m - n) \cdot 2$ .

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

Step 2

Add $2$ and $2$ .

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