Simplify a(b-x)+x(a+b)

$a (b - x) + x (a + b)$

Step 1

Simplify each term.

Apply the distributive property.

$a b + a (- x) + x (a + b)$

Rewrite using the commutative property of multiplication.

$a b - a x + x (a + b)$

Apply the distributive property.

$a b - a x + x a + x b$

Step 2

Combine the opposite terms in $a b - a x + x a + x b$ .

Reorder the factors in the terms $- a x$ and $x a$ .

$a b - a x + a x + x b$

Add $- a x$ and $a x$ .

$a b + 0 + x b$

Add $a b$ and $0$ .

$a b + x b$