Algebra Examples

$a (a - b) + 2 a b$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$a \cdot a + a (- b) + 2 a b$

Step 1.2

Multiply $a$ by $a$ .

$a^{2} + a (- b) + 2 a b$

Step 1.3

Rewrite using the commutative property of multiplication.

$a^{2} - a b + 2 a b$

Step 2

Simplify by adding terms.

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Step 2.1

Add $- a b$ and $2 a b$ .

$a^{2} + 1 a b$

Step 2.2

Multiply $a$ by $1$ .

$a^{2} + a b$