Algebra Examples

$2 (x + 1) (x - 1) + 5 (x - 1)$

Step 1

Factor $x - 1$ out of $2 (x + 1) (x - 1) + 5 (x - 1)$ .

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Step 1.1

Factor $x - 1$ out of $2 (x + 1) (x - 1)$ .

$(x - 1) (2 (x + 1)) + 5 (x - 1)$

Step 1.2

Factor $x - 1$ out of $5 (x - 1)$ .

$(x - 1) (2 (x + 1)) + (x - 1) \cdot 5$

Step 1.3

Factor $x - 1$ out of $(x - 1) (2 (x + 1)) + (x - 1) \cdot 5$ .

$(x - 1) (2 (x + 1) + 5)$

Step 2

Apply the distributive property.

$(x - 1) (2 x + 2 \cdot 1 + 5)$

Step 3

Multiply $2$ by $1$ .

$(x - 1) (2 x + 2 + 5)$

Step 4

Add $2$ and $5$ .

$(x - 1) (2 x + 7)$