What is (8x^3+8x^2+12x+5)/(2x+1) ?

The solution to (8x^3+8x^2+12x+5)/(2x+1) is 4x^2+2x+5

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simplify (8x^3+8x^2+12x+5)/(2x+1)

simplify

\frac{8 x ^{3} + 8 x ^{2} + 12 x + 5}{2 x + 1}

4 x^{2} + 2 x + 5

Solution steps

\frac{8 x ^{3} + 8 x ^{2} + 12 x + 5}{2 x + 1}

Factor

8 x^{3} + 8 x^{2} + 12 x + 5 : (2 x + 1) (4 x^{2} + 2 x + 5)

= \frac{( 2 x + 1 ) ( 4 x ^{2} + 2 x + 5 )}{2 x + 1}

Cancel the common factor:

2 x + 1

= 4 x^{2} + 2 x + 5

(3 y - 3)^{4}

6 x^{2} + 5 x

- 2 \cdot (- 7)

11.4 5^{2}

\frac{2 ^{x + 3} + 2 ^{x + 1}}{1 ^{x + 2} + 1 ^{x}}

What is (8x^3+8x^2+12x+5)/(2x+1) ?
The solution to (8x^3+8x^2+12x+5)/(2x+1) is 4x^2+2x+5