Basic Math Examples

$\frac{y^{2} - 12 y + 35}{9 y} \cdot \frac{1}{y + 7}$

Step 1

Factor $y^{2} - 12 y + 35$ using the AC method.

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Step 1.1

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $35$ and whose sum is $- 12$ .

$- 7, - 5$

Step 1.2

Write the factored form using these integers.

$\frac{(y - 7) (y - 5)}{9 y} \cdot \frac{1}{y + 7}$

Step 2

Multiply $\frac{(y - 7) (y - 5)}{9 y}$ by $\frac{1}{y + 7}$ .

$\frac{(y - 7) (y - 5)}{9 y (y + 7)}$