What is ((3x^2+2x-8))/((x+2)) ?

The solution to ((3x^2+2x-8))/((x+2)) is 3x-4

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simplify ((3x^2+2x-8))/((x+2))

simplify

\frac{( 3 x ^{2} + 2 x - 8 )}{( x + 2 )}

3 x - 4

Solution steps

\frac{3 x ^{2} + 2 x - 8}{x + 2}

Factor

3 x^{2} + 2 x - 8 : (3 x - 4) (x + 2)

= \frac{( 3 x - 4 ) ( x + 2 )}{x + 2}

Cancel the common factor:

x + 2

= 3 x - 4

\frac{18}{81}

\frac{18}{72}

\frac{18}{50}

\frac{18}{63}

\frac{18}{32}