Algebra Examples

$- 2 a (b + 3 - 2 a)$

Step 1

Apply the distributive property.

$- 2 a b - 2 a \cdot 3 - 2 a (- 2 a)$

Step 2

Simplify.

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Step 2.1

Multiply $3$ by $- 2$ .

$- 2 a b - 6 a - 2 a (- 2 a)$

Step 2.2

Rewrite using the commutative property of multiplication.

$- 2 a b - 6 a - 2 \cdot - 2 a \cdot a$

Step 3

Simplify each term.

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Step 3.1

Multiply $a$ by $a$ by adding the exponents.

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Step 3.1.1

Move $a$ .

$- 2 a b - 6 a - 2 \cdot - 2 (a \cdot a)$

Step 3.1.2

Multiply $a$ by $a$ .

$- 2 a b - 6 a - 2 \cdot - 2 a^{2}$

Step 3.2

Multiply $- 2$ by $- 2$ .

$- 2 a b - 6 a + 4 a^{2}$