Algebra Examples

$12 (5 (30 - 10 \cdot 3) + 2 (6 - 2 \cdot 3)) + 8 (9 (64 \div 4 - 4 \cdot 4) + 4 \cdot 2 \div 2)$

Step 1

Simplify each term.

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Step 1.1

Simplify each term.

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Step 1.1.1

Multiply $- 10$ by $3$ .

$12 (5 (30 - 30) + 2 (6 - 2 \cdot 3)) + 8 (9 (64 \div 4 - 4 \cdot 4) + 4 \cdot 2 \div 2)$

Step 1.1.2

Subtract $30$ from $30$ .

$12 (5 \cdot 0 + 2 (6 - 2 \cdot 3)) + 8 (9 (64 \div 4 - 4 \cdot 4) + 4 \cdot 2 \div 2)$

Step 1.1.3

Multiply $5$ by $0$ .

$12 (0 + 2 (6 - 2 \cdot 3)) + 8 (9 (64 \div 4 - 4 \cdot 4) + 4 \cdot 2 \div 2)$

Step 1.1.4

Multiply $- 2$ by $3$ .

$12 (0 + 2 (6 - 6)) + 8 (9 (64 \div 4 - 4 \cdot 4) + 4 \cdot 2 \div 2)$

Step 1.1.5

Subtract $6$ from $6$ .

$12 (0 + 2 \cdot 0) + 8 (9 (64 \div 4 - 4 \cdot 4) + 4 \cdot 2 \div 2)$

Step 1.1.6

Multiply $2$ by $0$ .

$12 (0 + 0) + 8 (9 (64 \div 4 - 4 \cdot 4) + 4 \cdot 2 \div 2)$

Step 1.2

Add $0$ and $0$ .

$12 \cdot 0 + 8 (9 (64 \div 4 - 4 \cdot 4) + 4 \cdot 2 \div 2)$

Step 1.3

Multiply $12$ by $0$ .

$0 + 8 (9 (64 \div 4 - 4 \cdot 4) + 4 \cdot 2 \div 2)$

Step 1.4

Multiply $4$ by $2$ .

$0 + 8 (9 (64 \div 4 - 4 \cdot 4) + 8 \div 2)$

Step 1.5

Simplify each term.

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Step 1.5.1

Simplify each term.

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Step 1.5.1.1

Divide $64$ by $4$ .

$0 + 8 (9 (16 - 4 \cdot 4) + 8 \div 2)$

Step 1.5.1.2

Multiply $- 4$ by $4$ .

$0 + 8 (9 (16 - 16) + 8 \div 2)$

Step 1.5.2

Subtract $16$ from $16$ .

$0 + 8 (9 \cdot 0 + 8 \div 2)$

Step 1.5.3

Multiply $9$ by $0$ .

$0 + 8 (0 + 8 \div 2)$

Step 1.5.4

Divide $8$ by $2$ .

$0 + 8 (0 + 4)$

Step 1.6

Add $0$ and $4$ .

$0 + 8 \cdot 4$

Step 1.7

Multiply $8$ by $4$ .

$0 + 32$

Step 2

Add $0$ and $32$ .

$32$