Basic Math Examples

$\frac{2}{3} \cdot (288 - 27 \div 3) - 4 \cdot {(9 - 6 \cdot 2)}^{2}$

Step 1

Simplify each term.

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Step 1.1

Simplify each term.

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Step 1.1.1

Divide $27$ by $3$ .

$\frac{2}{3} \cdot (288 - 1 \cdot 9) - 4 \cdot {(9 - 6 \cdot 2)}^{2}$

Step 1.1.2

Multiply $- 1$ by $9$ .

$\frac{2}{3} \cdot (288 - 9) - 4 \cdot {(9 - 6 \cdot 2)}^{2}$

Step 1.2

Subtract $9$ from $288$ .

$\frac{2}{3} \cdot 279 - 4 \cdot {(9 - 6 \cdot 2)}^{2}$

Step 1.3

Cancel the common factor of $3$ .

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Step 1.3.1

Factor $3$ out of $279$ .

$\frac{2}{3} \cdot (3 (93)) - 4 \cdot {(9 - 6 \cdot 2)}^{2}$

Step 1.3.2

Cancel the common factor.

$\frac{2}{3} \cdot (3 \cdot 93) - 4 \cdot {(9 - 6 \cdot 2)}^{2}$

Step 1.3.3

Rewrite the expression.

$2 \cdot 93 - 4 \cdot {(9 - 6 \cdot 2)}^{2}$

Step 1.4

Multiply $2$ by $93$ .

$186 - 4 \cdot {(9 - 6 \cdot 2)}^{2}$

Step 1.5

Multiply $- 6$ by $2$ .

$186 - 4 \cdot {(9 - 12)}^{2}$

Step 1.6

Subtract $12$ from $9$ .

$186 - 4 \cdot {(- 3)}^{2}$

Step 1.7

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

$186 - 4 \cdot 9$

Step 1.8

Multiply $- 4$ by $9$ .

$186 - 36$

Step 2

Subtract $36$ from $186$ .

$150$