Simplify (m^2+m-6)÷(m+4)

$(m^{2} + m - 6) \div (m + 4)$

Rewrite the division as a fraction.

$\frac{m^{2} + m - 6}{m + 4}$

Factor $m^{2} + m - 6$ 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 $- 6$ and whose sum is $1$ .

$- 2, 3$

Write the factored form using these integers.

$\frac{(m - 2) (m + 3)}{m + 4}$

Simplify (m^2+m-6)÷(m+4)

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