Calculus Examples

$\frac{x^{2} + 4 x - 5}{x - 1}$

Step 1

Factor $x^{2} + 4 x - 5$ 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 $- 5$ and whose sum is $4$ .

$- 1, 5$

Step 1.2

Write the factored form using these integers.

$\frac{(x - 1) (x + 5)}{x - 1}$

Step 2

Cancel the common factor of $x - 1$ .

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Step 2.1

Cancel the common factor.

$\frac{(x - 1) (x + 5)}{x - 1}$

Step 2.2

Divide $x + 5$ by $1$ .

$x + 5$