Basic Math Examples

$(b^{2} - 8 b - 65) \div (b + 3)$

Step 1

Rewrite the division as a fraction.

$\frac{b^{2} - 8 b - 65}{b + 3}$

Step 2

Factor $b^{2} - 8 b - 65$ 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 $- 65$ and whose sum is $- 8$ .

$- 13, 5$

Step 2.2

Write the factored form using these integers.

$\frac{(b - 13) (b + 5)}{b + 3}$