Basic Math Examples

$\frac{a^{2} - 6 a - 40}{20 - 2 a^{2}}$

Step 1

Factor $a^{2} - 6 a - 40$ using the AC method.

Tap for more steps...

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 $- 40$ and whose sum is $- 6$ .

$- 10, 4$

Step 1.2

Write the factored form using these integers.

$\frac{(a - 10) (a + 4)}{20 - 2 a^{2}}$

Step 2

Factor $2$ out of $20 - 2 a^{2}$ .

Tap for more steps...

Step 2.1

Factor $2$ out of $20$ .

$\frac{(a - 10) (a + 4)}{2 (10) - 2 a^{2}}$

Step 2.2

Factor $2$ out of $- 2 a^{2}$ .

$\frac{(a - 10) (a + 4)}{2 (10) + 2 (- a^{2})}$

Step 2.3

Factor $2$ out of $2 (10) + 2 (- a^{2})$ .

$\frac{(a - 10) (a + 4)}{2 (10 - a^{2})}$