Basic Math Examples

$\frac{4 y (y - 3) (y + 4)}{y (y^{2} - y - 6)}$

Step 1

Cancel the common factor of $y$ .

Tap for more steps...

Step 1.1

Cancel the common factor.

$\frac{4 y (y - 3) (y + 4)}{y (y^{2} - y - 6)}$

Step 1.2

Rewrite the expression.

$\frac{(4 (y - 3)) (y + 4)}{y^{2} - y - 6}$

Step 2

Factor $y^{2} - y - 6$ using the AC method.

Tap for more steps...

Step 2.1

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 $- 6$ and whose sum is $- 1$ .

$- 3, 2$

Step 2.2

Write the factored form using these integers.

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

Step 3

Cancel the common factor of $y - 3$ .

Tap for more steps...

Step 3.1

Cancel the common factor.

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

Step 3.2

Rewrite the expression.

$\frac{4 (y + 4)}{y + 2}$