What is ((6x^2+16x+8))/((3x+2)) ?

The solution to ((6x^2+16x+8))/((3x+2)) is 2x+4

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simplify ((6x^2+16x+8))/((3x+2))

simplify

\frac{( 6 x ^{2} + 16 x + 8 )}{( 3 x + 2 )}

2 x + 4

Solution steps

\frac{6 x ^{2} + 16 x + 8}{3 x + 2}

Factor

6 x^{2} + 16 x + 8 : 2 (3 x^{2} + 8 x + 4)

= \frac{2 ( 3 x ^{2} + 8 x + 4 )}{3 x + 2}

Factor

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

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

Cancel the common factor:

3 x + 2

= 2 (x + 2)

Expand

2 (x + 2) : 2 x + 4

= 2 x + 4

\frac{21}{30}

- 5^{6}

lo g_{2} (500)

(2^{4})^{5}

x^{3} - x^{3}

What is ((6x^2+16x+8))/((3x+2)) ?
The solution to ((6x^2+16x+8))/((3x+2)) is 2x+4