Basic Math Examples

$(v^{2} - 4 v - 45) \div (v + 3)$

Step 1

Rewrite the division as a fraction.

$\frac{v^{2} - 4 v - 45}{v + 3}$

Step 2

Factor $v^{2} - 4 v - 45$ using the AC method.

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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 $- 45$ and whose sum is $- 4$ .

$- 9, 5$

Step 2.2

Write the factored form using these integers.

$\frac{(v - 9) (v + 5)}{v + 3}$