What is (2x^2+7x+6)/(x^2-x-6) ?

The solution to (2x^2+7x+6)/(x^2-x-6) is (2x+3)/(x-3)

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simplify (2x^2+7x+6)/(x^2-x-6)

simplify

\frac{2 x ^{2} + 7 x + 6}{x ^{2} - x - 6}

\frac{2 x + 3}{x - 3}

Solution steps

\frac{2 x ^{2} + 7 x + 6}{x ^{2} - x - 6}

Factor

2 x^{2} + 7 x + 6 : (2 x + 3) (x + 2)

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

Factor

x^{2} - x - 6 : (x + 2) (x - 3)

= \frac{( 2 x + 3 ) ( x + 2 )}{( x + 2 ) ( x - 3 )}

Cancel the common factor:

x + 2

= \frac{2 x + 3}{x - 3}

\frac{8 x ^{7} y ^{7}}{2 x ^{6} y ^{4}}

lo g_{10} (4^{2})

\frac{1.5 \cdot 1 0 ^{6}}{3.77 \cdot 1 0 ^{6}}

\frac{1}{23} + \frac{1}{16}

\frac{9}{2} + 9

What is (2x^2+7x+6)/(x^2-x-6) ?
The solution to (2x^2+7x+6)/(x^2-x-6) is (2x+3)/(x-3)