Algebra Examples

$\frac{3 x - 15}{x^{2} - x - 20}$

Factor $3$ out of $3 x - 15$ .

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Factor $3$ out of $3 x$ .

$\frac{3 (x) - 15}{x^{2} - x - 20}$

Factor $3$ out of $- 15$ .

$\frac{3 x + 3 \cdot - 5}{x^{2} - x - 20}$

Factor $3$ out of $3 x + 3 \cdot - 5$ .

$\frac{3 (x - 5)}{x^{2} - x - 20}$

Factor $x^{2} - x - 20$ using the AC method.

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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 $- 20$ and whose sum is $- 1$ .

$- 5, 4$

Write the factored form using these integers.

$\frac{3 (x - 5)}{(x - 5) (x + 4)}$

Cancel the common factor of $x - 5$ .

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Cancel the common factor.

$\frac{3 (x - 5)}{(x - 5) (x + 4)}$

Rewrite the expression.

$\frac{3}{x + 4}$

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$x + 4$

Remove parentheses.

$x + 4$