Basic Math Examples

$\frac{9}{9 y - 27} \cdot \frac{7 y^{2}}{y - 10}$

Step 1

Factor $9$ out of $9 y - 27$ .

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Step 1.1

Factor $9$ out of $9 y$ .

$\frac{9}{9 (y) - 27} \cdot \frac{7 y^{2}}{y - 10}$

Step 1.2

Factor $9$ out of $- 27$ .

$\frac{9}{9 y + 9 \cdot - 3} \cdot \frac{7 y^{2}}{y - 10}$

Step 1.3

Factor $9$ out of $9 y + 9 \cdot - 3$ .

$\frac{9}{9 (y - 3)} \cdot \frac{7 y^{2}}{y - 10}$

Step 2

Cancel the common factor of $9$ .

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Step 2.1

Cancel the common factor.

$\frac{9}{9 (y - 3)} \cdot \frac{7 y^{2}}{y - 10}$

Step 2.2

Rewrite the expression.

$\frac{1}{y - 3} \cdot \frac{7 y^{2}}{y - 10}$

Step 3

Multiply $\frac{1}{y - 3}$ by $\frac{7 y^{2}}{y - 10}$ .

$\frac{7 y^{2}}{(y - 3) (y - 10)}$