Factor (x-3)(x-4)+(x-3)(x+4)

$(x - 3) (x - 4) + (x - 3) (x + 4)$

Step 1

Factor $x - 3$ out of $(x - 3) (x - 4) + (x - 3) (x + 4)$ .

$(x - 3) (x - 4 + x + 4)$

Step 2

Add $x$ and $x$ .

$(x - 3) (2 x - 4 + 4)$

Step 3

Add $- 4$ and $4$ .

$(x - 3) (2 x + 0)$

Step 4

Factor.

Add $2 x$ and $0$ .

$(x - 3) (2 x)$

Remove unnecessary parentheses.

$(x - 3) \cdot 2 x$