Algebra Examples

$4 a (8 a - 8 b)$

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

$4 a (8 a) + 4 a (- 8 b)$

Step 1.2

Reorder.

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Step 1.2.1

Rewrite using the commutative property of multiplication.

$4 \cdot 8 a \cdot a + 4 a (- 8 b)$

Step 1.2.2

Rewrite using the commutative property of multiplication.

$4 \cdot 8 a \cdot a + 4 \cdot - 8 a b$

Step 2

Simplify each term.

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Step 2.1

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

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Step 2.1.1

Move $a$ .

$4 \cdot 8 (a \cdot a) + 4 \cdot - 8 a b$

Step 2.1.2

Multiply $a$ by $a$ .

$4 \cdot 8 a^{2} + 4 \cdot - 8 a b$

Step 2.2

Multiply $4$ by $8$ .

$32 a^{2} + 4 \cdot - 8 a b$

Step 2.3

Multiply $4$ by $- 8$ .

$32 a^{2} - 32 a b$