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

(- 7) (- 2)

y^{2} - 5 y

- \frac{32}{8}

(x + 1)^{2} - (x + 1)

(2 x - 7) - (x + 3)