Basic Math Examples

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

Step 1

Factor $3$ out of $3 y (y - 2) - 3 z (z - 2)$ .

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Step 1.1

Factor $3$ out of $3 y (y - 2)$ .

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

Step 1.2

Factor $3$ out of $- 3 z (z - 2)$ .

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

Step 1.3

Factor $3$ out of $3 (y (y - 2)) + 3 (- z (z - 2))$ .

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

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

Step 2

Apply the distributive property.

$3 (y \cdot y + y \cdot - 2 - z (z - 2))$

Step 3

Multiply $y$ by $y$ .

$3 (y^{2} + y \cdot - 2 - z (z - 2))$

Step 4

Move $- 2$ to the left of $y$ .

$3 (y^{2} - 2 y - z (z - 2))$

Step 5

Apply the distributive property.

$3 (y^{2} - 2 y - z \cdot z - z \cdot - 2)$

Step 6

Multiply $z$ by $z$ by adding the exponents.

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Step 6.1

Move $z$ .

$3 (y^{2} - 2 y - (z \cdot z) - z \cdot - 2)$

Step 6.2

Multiply $z$ by $z$ .

$3 (y^{2} - 2 y - z^{2} - z \cdot - 2)$

$3 (y^{2} - 2 y - z^{2} - z \cdot - 2)$

Step 7

Multiply $- 2$ by $- 1$ .

$3 (y^{2} - 2 y - z^{2} + 2 z)$

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