Algebra Examples

$2 {(- 4)}^{2} - 3 \cdot - 4 \cdot - 2 + {(- 2)}^{2} - 4 \cdot - 4 + (- 2)$

Step 1

Remove parentheses.

$2 {(- 4)}^{2} - 3 \cdot - 4 \cdot - 2 + {(- 2)}^{2} - 4 \cdot - 4 - 2$

Step 2

Simplify each term.

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Step 2.1

Raise $- 4$ to the power of $2$ .

$2 \cdot 16 - 3 \cdot - 4 \cdot - 2 + {(- 2)}^{2} - 4 \cdot - 4 - 2$

Step 2.2

Multiply $2$ by $16$ .

$32 - 3 \cdot - 4 \cdot - 2 + {(- 2)}^{2} - 4 \cdot - 4 - 2$

Step 2.3

Multiply $- 3 \cdot - 4 \cdot - 2$ .

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Step 2.3.1

Multiply $- 3$ by $- 4$ .

$32 + 12 \cdot - 2 + {(- 2)}^{2} - 4 \cdot - 4 - 2$

Step 2.3.2

Multiply $12$ by $- 2$ .

$32 - 24 + {(- 2)}^{2} - 4 \cdot - 4 - 2$

Step 2.4

Raise $- 2$ to the power of $2$ .

$32 - 24 + 4 - 4 \cdot - 4 - 2$

Step 2.5

Multiply $- 4$ by $- 4$ .

$32 - 24 + 4 + 16 - 2$

Step 3

Simplify by adding and subtracting.

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Step 3.1

Subtract $24$ from $32$ .

$8 + 4 + 16 - 2$

Step 3.2

Add $8$ and $4$ .

$12 + 16 - 2$

Step 3.3

Add $12$ and $16$ .

$28 - 2$

Step 3.4

Subtract $2$ from $28$ .

$26$