Basic Math Examples

$- 4 y - 3 (- 3 z + 6 y) + 3 z$

Step 1

Factor $- 1$ out of $- 4 y - 3 (- 3 z + 6 y) + 3 z$ .

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Step 1.1

Reorder the expression.

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Step 1.1.1

Reorder $- 3 z$ and $6 y$ .

$- 4 y - 3 (6 y - 3 z) + 3 z$

Step 1.1.2

Reorder $- 4 y$ and $- 3 (6 y - 3 z)$ .

$- 3 (6 y - 3 z) - 4 y + 3 z$

$- 3 (6 y - 3 z) - 4 y + 3 z$

Step 1.2

Factor $- 1$ out of $- 3 (6 y - 3 z)$ .

$- (3 (6 y - 3 z)) - 4 y + 3 z$

Step 1.3

Factor $- 1$ out of $- 4 y$ .

$- (3 (6 y - 3 z)) - (4 y) + 3 z$

Step 1.4

Factor $- 1$ out of $3 z$ .

$- (3 (6 y - 3 z)) - (4 y) - (- 3 z)$

Step 1.5

Factor $- 1$ out of $- (3 (6 y - 3 z)) - (4 y)$ .

$- (3 (6 y - 3 z) + 4 y) - (- 3 z)$

Step 1.6

Factor $- 1$ out of $- (3 (6 y - 3 z) + 4 y) - (- 3 z)$ .

$- (3 (6 y - 3 z) + 4 y - 3 z)$

$- (3 (6 y - 3 z) + 4 y - 3 z)$

Step 2

Apply the distributive property.

$- (3 (6 y) + 3 (- 3 z) + 4 y - 3 z)$

Step 3

Multiply $6$ by $3$ .

$- (18 y + 3 (- 3 z) + 4 y - 3 z)$

Step 4

Multiply $- 3$ by $3$ .

$- (18 y - 9 z + 4 y - 3 z)$

Step 5

Add $18 y$ and $4 y$ .

$- (22 y - 9 z - 3 z)$

Step 6

Subtract $3 z$ from $- 9 z$ .

$- (22 y - 12 z)$

Step 7

Factor.

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Step 7.1

Factor $2$ out of $22 y - 12 z$ .

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Step 7.1.1

Factor $2$ out of $22 y$ .

$- (2 (11 y) - 12 z)$

Step 7.1.2

Factor $2$ out of $- 12 z$ .

$- (2 (11 y) + 2 (- 6 z))$

Step 7.1.3

Factor $2$ out of $2 (11 y) + 2 (- 6 z)$ .

$- (2 (11 y - 6 z))$

$- (2 (11 y - 6 z))$

Step 7.2

Remove unnecessary parentheses.

$- 1 \cdot 2 (11 y - 6 z)$

$- 1 \cdot 2 (11 y - 6 z)$

Step 8

Multiply $- 1$ by $2$ .

$- 2 (11 y - 6 z)$

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