Basic Math Examples

$\frac{- 35 y^{2} + 28 y + 21}{7}$

Step 1

Factor $7$ out of $- 35 y^{2}$ .

$\frac{7 (- 5 y^{2}) + 28 y + 21}{7}$

Step 2

Factor $7$ out of $28 y$ .

$\frac{7 (- 5 y^{2}) + 7 (4 y) + 21}{7}$

Step 3

Factor $7$ out of $7 (- 5 y^{2}) + 7 (4 y)$ .

$\frac{7 (- 5 y^{2} + 4 y) + 21}{7}$

Step 4

Factor $7$ out of $21$ .

$\frac{7 (- 5 y^{2} + 4 y) + 7 \cdot 3}{7}$

Step 5

Factor $7$ out of $7 (- 5 y^{2} + 4 y) + 7 (3)$ .

$\frac{7 (- 5 y^{2} + 4 y + 3)}{7}$

Step 6

Cancel the common factors.

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Step 6.1

Factor $7$ out of $7$ .

$\frac{7 (- 5 y^{2} + 4 y + 3)}{7 (1)}$

Step 6.2

Cancel the common factor.

$\frac{7 (- 5 y^{2} + 4 y + 3)}{7 \cdot 1}$

Step 6.3

Rewrite the expression.

$\frac{- 5 y^{2} + 4 y + 3}{1}$

Step 6.4

Divide $- 5 y^{2} + 4 y + 3$ by $1$ .

$- 5 y^{2} + 4 y + 3$

$- 5 y^{2} + 4 y + 3$

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