Basic Math Examples

$(15 - (2^{3} - \frac{20}{4})) \cdot (5 + (6 \cdot 4 - 8)) - 3 + (16 - 4 \cdot 6)$

Step 1

Remove parentheses.

$(15 - (2^{3} - \frac{20}{4})) \cdot (5 + 6 \cdot 4 - 8) - 3 + 16 - 4 \cdot 6$

Step 2

Simplify each term.

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Step 2.1

Simplify each term.

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Step 2.1.1

Simplify each term.

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Step 2.1.1.1

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

$(15 - (8 - \frac{20}{4})) \cdot (5 + 6 \cdot 4 - 8) - 3 + 16 - 4 \cdot 6$

Step 2.1.1.2

Divide $20$ by $4$ .

$(15 - (8 - 1 \cdot 5)) \cdot (5 + 6 \cdot 4 - 8) - 3 + 16 - 4 \cdot 6$

Step 2.1.1.3

Multiply $- 1$ by $5$ .

$(15 - (8 - 5)) \cdot (5 + 6 \cdot 4 - 8) - 3 + 16 - 4 \cdot 6$

Step 2.1.2

Subtract $5$ from $8$ .

$(15 - 1 \cdot 3) \cdot (5 + 6 \cdot 4 - 8) - 3 + 16 - 4 \cdot 6$

Step 2.1.3

Multiply $- 1$ by $3$ .

$(15 - 3) \cdot (5 + 6 \cdot 4 - 8) - 3 + 16 - 4 \cdot 6$

Step 2.2

Subtract $3$ from $15$ .

$12 \cdot (5 + 6 \cdot 4 - 8) - 3 + 16 - 4 \cdot 6$

Step 2.3

Multiply $6$ by $4$ .

$12 \cdot (5 + 24 - 8) - 3 + 16 - 4 \cdot 6$

Step 2.4

Add $5$ and $24$ .

$12 \cdot (29 - 8) - 3 + 16 - 4 \cdot 6$

Step 2.5

Subtract $8$ from $29$ .

$12 \cdot 21 - 3 + 16 - 4 \cdot 6$

Step 2.6

Multiply $12$ by $21$ .

$252 - 3 + 16 - 4 \cdot 6$

Step 2.7

Multiply $- 4$ by $6$ .

$252 - 3 + 16 - 24$

Step 3

Simplify by adding and subtracting.

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Step 3.1

Subtract $3$ from $252$ .

$249 + 16 - 24$

Step 3.2

Add $249$ and $16$ .

$265 - 24$

Step 3.3

Subtract $24$ from $265$ .

$241$