Basic Math Examples

$6 \cdot (2 y - 1) + 9 (2 y - 1)$

Step 1

Apply the distributive property.

$6 (2 y) + 6 \cdot - 1 + 9 (2 y - 1)$

Step 2

Multiply $2$ by $6$ .

$12 y + 6 \cdot - 1 + 9 (2 y - 1)$

Step 3

Multiply $6$ by $- 1$ .

$12 y - 6 + 9 (2 y - 1)$

Step 4

Apply the distributive property.

$12 y - 6 + 9 (2 y) + 9 \cdot - 1$

Step 5

Multiply $2$ by $9$ .

$12 y - 6 + 18 y + 9 \cdot - 1$

Step 6

Multiply $9$ by $- 1$ .

$12 y - 6 + 18 y - 9$

Step 7

Add $12 y$ and $18 y$ .

$30 y - 6 - 9$

Step 8

Subtract $9$ from $- 6$ .

$30 y - 15$

Step 9

Factor $15$ out of $30 y - 15$ .

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Step 9.1

Factor $15$ out of $30 y$ .

$15 (2 y) - 15$

Step 9.2

Factor $15$ out of $- 15$ .

$15 (2 y) + 15 (- 1)$

Step 9.3

Factor $15$ out of $15 (2 y) + 15 (- 1)$ .

$15 (2 y - 1)$

$15 (2 y - 1)$

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