What is (7x+28)/(x^2+x-12) ?

The solution to (7x+28)/(x^2+x-12) is 7/(x-3)

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simplify (7x+28)/(x^2+x-12)

simplify

\frac{7 x + 28}{x ^{2} + x - 12}

\frac{7}{x - 3}

Solution steps

\frac{7 x + 28}{x ^{2} + x - 12}

Factor

7 x + 28 : 7 (x + 4)

= \frac{7 ( x + 4 )}{x ^{2} + x - 12}

Factor

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

= \frac{7 ( x + 4 )}{( x - 3 ) ( x + 4 )}

Cancel the common factor:

x + 4

= \frac{7}{x - 3}

\frac{41}{5}

2 t + 4 s

\frac{20}{120}

\frac{15 m ^{4} n ^{3} - 35 m n ^{2}}{5 mn}

\frac{x ^{2} + 2 x y + y ^{2}}{x ^{2} - y ^{2}}