Basic Math Examples

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

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

Step 1

Remove parentheses.

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

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

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

$2$ to the power of

3

$3$ .

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

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

Step 2.1.1.2

Divide

20

$20$ by

4

$4$ .

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

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

Step 2.1.1.3

Multiply

- 1

$- 1$ by

5

$5$ .

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

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

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

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

Step 2.1.2

Subtract

5

$5$ from

8

$8$ .

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

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

Step 2.1.3

Multiply

- 1

$- 1$ by

3

$3$ .

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

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

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

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

Step 2.2

Subtract

3

$3$ from

15

$15$ .

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

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

Step 2.3

Multiply

6

$6$ by

4

$4$ .

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

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

Step 2.4

Add

5

$5$ and

24

$24$ .

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

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

Step 2.5

Subtract

8

$8$ from

29

$29$ .

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

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

Step 2.6

Multiply

12

$12$ by

21

$21$ .

252 - 3 + 16 - 4 \cdot 6

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

Step 2.7

Multiply

- 4

$- 4$ by

6

$6$ .

252 - 3 + 16 - 24

$252 - 3 + 16 - 24$

252 - 3 + 16 - 24

$252 - 3 + 16 - 24$

Step 3

Simplify by adding and subtracting.

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Step 3.1

Subtract

3

$3$ from

252

$252$ .

249 + 16 - 24

$249 + 16 - 24$

Step 3.2

Add

249

$249$ and

16

$16$ .

265 - 24

$265 - 24$

Step 3.3

Subtract

24

$24$ from

265

$265$ .

241

$241$

241

$241$