Basic Math Examples

$2 (- 3 z - 3 y) - 3 (- 7 y - z)$

Step 1

Apply the distributive property.

$2 (- 3 z) + 2 (- 3 y) - 3 (- 7 y - z)$

Step 2

Multiply $- 3$ by $2$ .

$- 6 z + 2 (- 3 y) - 3 (- 7 y - z)$

Step 3

Multiply $- 3$ by $2$ .

$- 6 z - 6 y - 3 (- 7 y - z)$

Step 4

Apply the distributive property.

$- 6 z - 6 y - 3 (- 7 y) - 3 (- z)$

Step 5

Multiply $- 7$ by $- 3$ .

$- 6 z - 6 y + 21 y - 3 (- z)$

Step 6

Multiply $- 1$ by $- 3$ .

$- 6 z - 6 y + 21 y + 3 z$

Step 7

Add $- 6 z$ and $3 z$ .

$- 6 y + 21 y - 3 z$

Step 8

Add $- 6 y$ and $21 y$ .

$15 y - 3 z$

Step 9

Factor $3$ out of $15 y - 3 z$ .

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Step 9.1

Factor $3$ out of $15 y$ .

$3 (5 y) - 3 z$

Step 9.2

Factor $3$ out of $- 3 z$ .

$3 (5 y) + 3 (- z)$

Step 9.3

Factor $3$ out of $3 (5 y) + 3 (- z)$ .

$3 (5 y - z)$

$3 (5 y - z)$

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