Factor (x+m)(x+1)-(x+1)(x-n)

$(x + m) (x + 1) - (x + 1) (x - n)$

Step 1

Factor $x + 1$ out of $(x + m) (x + 1) - (x + 1) (x - n)$ .

Factor $x + 1$ out of $(x + m) (x + 1)$ .

$(x + 1) (x + m) - (x + 1) (x - n)$

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

$(x + 1) (x + m) + (x + 1) (- 1 (x - n))$

Factor $x + 1$ out of $(x + 1) (x + m) + (x + 1) (- 1 (x - n))$ .

$(x + 1) (x + m - 1 (x - n))$

Step 2

Apply the distributive property.

$(x + 1) (x + m - 1 x - 1 (- n))$

Step 3

Rewrite $- 1 x$ as $- x$ .

$(x + 1) (x + m - x - 1 (- n))$

Step 4

Multiply $- 1 (- n)$ .

Multiply $- 1$ by $- 1$ .

$(x + 1) (x + m - x + 1 n)$

Multiply $n$ by $1$ .

$(x + 1) (x + m - x + n)$

Step 5

Subtract $x$ from $x$ .

$(x + 1) (m + 0 + n)$

Step 6

Add $m$ and $0$ .

$(x + 1) (m + n)$