Algebra Examples

$100 - 16 \times 4 - {(2 + 3^{2} - 15)}^{3} + 2 \times 5^{2}$

Step 1

Simplify each term.

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Step 1.1

Multiply $- 16$ by $4$ .

$100 - 64 - {(2 + 3^{2} - 15)}^{3} + 2 \cdot 5^{2}$

Step 1.2

Raise $3$ to the power of $2$ .

$100 - 64 - {(2 + 9 - 15)}^{3} + 2 \cdot 5^{2}$

Step 1.3

Add $2$ and $9$ .

$100 - 64 - {(11 - 15)}^{3} + 2 \cdot 5^{2}$

Step 1.4

Subtract $15$ from $11$ .

$100 - 64 - {(- 4)}^{3} + 2 \cdot 5^{2}$

Step 1.5

Raise $- 4$ to the power of $3$ .

$100 - 64 - - 64 + 2 \cdot 5^{2}$

Step 1.6

Multiply $- 1$ by $- 64$ .

$100 - 64 + 64 + 2 \cdot 5^{2}$

Step 1.7

Raise $5$ to the power of $2$ .

$100 - 64 + 64 + 2 \cdot 25$

Step 1.8

Multiply $2$ by $25$ .

$100 - 64 + 64 + 50$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Subtract $64$ from $100$ .

$36 + 64 + 50$

Step 2.2

Add $36$ and $64$ .

$100 + 50$

Step 2.3

Add $100$ and $50$ .

$150$