Pre-Algebra Examples

$(28 y^{2} + 12 y) \div (- 4 y)$

Step 1

Rewrite the division as a fraction.

$\frac{28 y^{2} + 12 y}{- 4 y}$

Step 2

Factor $4 y$ out of $28 y^{2} + 12 y$ .

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Step 2.1

Factor $4 y$ out of $28 y^{2}$ .

$\frac{4 y (7 y) + 12 y}{- 4 y}$

Step 2.2

Factor $4 y$ out of $12 y$ .

$\frac{4 y (7 y) + 4 y (3)}{- 4 y}$

Step 2.3

Factor $4 y$ out of $4 y (7 y) + 4 y (3)$ .

$\frac{4 y (7 y + 3)}{- 4 y}$

$\frac{4 y (7 y + 3)}{- 4 y}$

Step 3

Cancel the common factor of $4$ and $- 4$ .

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Step 3.1

Factor $4$ out of $4 y (7 y + 3)$ .

$\frac{4 (y (7 y + 3))}{- 4 y}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

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

$\frac{4 (y (7 y + 3))}{4 (- y)}$

Step 3.2.2

Cancel the common factor.

$\frac{4 (y (7 y + 3))}{4 (- y)}$

Step 3.2.3

Rewrite the expression.

$\frac{y (7 y + 3)}{- y}$

$\frac{y (7 y + 3)}{- y}$

$\frac{y (7 y + 3)}{- y}$

Step 4

Cancel the common factor of $y$ .

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Step 4.1

Cancel the common factor.

$\frac{y (7 y + 3)}{- y}$

Step 4.2

Rewrite the expression.

$\frac{7 y + 3}{- 1}$

Step 4.3

Move the negative one from the denominator of $\frac{7 y + 3}{- 1}$ .

$- 1 \cdot (7 y + 3)$

$- 1 \cdot (7 y + 3)$

Step 5

Rewrite $- 1 \cdot (7 y + 3)$ as $- (7 y + 3)$ .

$- (7 y + 3)$

Step 6

Apply the distributive property.

$- (7 y) - 1 \cdot 3$

Step 7

Multiply $7$ by $- 1$ .

$- 7 y - 1 \cdot 3$

Step 8

Multiply $- 1$ by $3$ .

$- 7 y - 3$

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