What is ((x^2+7x+12))/((x+3)) ?

The solution to ((x^2+7x+12))/((x+3)) is x+4

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simplify ((x^2+7x+12))/((x+3))

simplify

\frac{( x ^{2} + 7 x + 12 )}{( x + 3 )}

x + 4

Solution steps

\frac{x ^{2} + 7 x + 12}{x + 3}

Factor

x^{2} + 7 x + 12 : (x + 3) (x + 4)

= \frac{( x + 3 ) ( x + 4 )}{x + 3}

Cancel the common factor:

x + 3

= x + 4

- 1 - 3 i

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

- 4 \times (- 3)

\frac{5 x ^{3}}{15 x ^{4} - 15 x ^{3}}

(4 - 72) (- 4 - 64)