Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Rewrite using the commutative property of multiplication.

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

Step 1.3

Apply the distributive property.

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

Step 2

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

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Step 2.1

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

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

Step 2.2

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

$a b + 0 + x b$

Step 2.3

Add $a b$ and $0$ .

$a b + x b$