What is factor 8v^3+20v^2+14v+3 ?

The solution to factor 8v^3+20v^2+14v+3 is (2v+1)^2(2v+3)

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factor 8v^3+20v^2+14v+3

factor

8 v^{3} + 20 v^{2} + 14 v + 3

(2 v + 1)^{2} (2 v + 3)

Solution steps

8 v^{3} + 20 v^{2} + 14 v + 3

Use the rational root theorem

= (2 v + 1) \frac{8 v ^{3} + 20 v ^{2} + 14 v + 3}{2 v + 1}

\frac{8 v ^{3} + 20 v ^{2} + 14 v + 3}{2 v + 1} = 4 v^{2} + 8 v + 3

= (2 v + 1) (4 v^{2} + 8 v + 3)

Factor

4 v^{2} + 8 v + 3 : (2 v + 1) (2 v + 3)

= (2 v + 1) (2 v + 1) (2 v + 3)

Apply exponent rule:

aa = a^{2}

(2 v + 1) (2 v + 1) = (2 v + 1)^{2}

= (2 v + 1)^{2} (2 v + 3)

\frac{1}{2 x} + \frac{4}{x + 12}

\frac{5}{4} + \frac{1}{8}

(32)^{2}

(a + 3 b - 2)^{3}

2 x \cdot 0

What is factor 8v^3+20v^2+14v+3 ?
The solution to factor 8v^3+20v^2+14v+3 is (2v+1)^2(2v+3)