Simplify (x(x-3)(x+6))/(x^2+x-12)

$\frac{x (x - 3) (x + 6)}{x^{2} + x - 12}$

Step 1

Factor $x^{2} + x - 12$ using the AC method.

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 $- 12$ and whose sum is $1$ .

$- 3, 4$

Write the factored form using these integers.

$\frac{x (x - 3) (x + 6)}{(x - 3) (x + 4)}$

Step 2

Cancel the common factor of $x - 3$ .

Cancel the common factor.

$\frac{x (x - 3) (x + 6)}{(x - 3) (x + 4)}$

Rewrite the expression.

$\frac{x (x + 6)}{x + 4}$

Simplify (x(x-3)(x+6))/(x^2+x-12)

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