Basic Math Examples

$\frac{2}{9} \cdot (45 \cdot (- 27 y) + 18 z)$

Step 1

Multiply $- 27$ by $45$ .

$\frac{2}{9} \cdot (- 1215 y + 18 z)$

Step 2

Simplify terms.

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Step 2.1

Apply the distributive property.

$\frac{2}{9} (- 1215 y) + \frac{2}{9} (18 z)$

Step 2.2

Cancel the common factor of $9$ .

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Step 2.2.1

Factor $9$ out of $- 1215 y$ .

$\frac{2}{9} (9 (- 135 y)) + \frac{2}{9} (18 z)$

Step 2.2.2

Cancel the common factor.

$\frac{2}{9} (9 (- 135 y)) + \frac{2}{9} (18 z)$

Step 2.2.3

Rewrite the expression.

$2 (- 135 y) + \frac{2}{9} (18 z)$

$2 (- 135 y) + \frac{2}{9} (18 z)$

Step 2.3

Multiply $- 135$ by $2$ .

$- 270 y + \frac{2}{9} (18 z)$

Step 2.4

Cancel the common factor of $9$ .

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Step 2.4.1

Factor $9$ out of $18 z$ .

$- 270 y + \frac{2}{9} (9 (2 z))$

Step 2.4.2

Cancel the common factor.

$- 270 y + \frac{2}{9} (9 (2 z))$

Step 2.4.3

Rewrite the expression.

$- 270 y + 2 (2 z)$

$- 270 y + 2 (2 z)$

Step 2.5

Multiply $2$ by $2$ .

$- 270 y + 4 z$

$- 270 y + 4 z$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$