What is factor a^3+3a+3a^2+1 ?

The solution to factor a^3+3a+3a^2+1 is (a+1)^3

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factor a^3+3a+3a^2+1

factor

a^{3} + 3 a + 3 a^{2} + 1

(a + 1)^{3}

Solution steps

a^{3} + 3 a + 3 a^{2} + 1

Write in the standard form

= a^{3} + 3 a^{2} + 3 a + 1

Apply cube of sum rule:

x^{3} + 3 x^{2} y + 3 x y^{2} + y^{3} = (x + y)^{3}

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

= (a + 1)^{3}

\frac{2}{36} - \frac{x ^{6}}{25}

x^{3} + 3 x^{2} + 2 x - 120

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(x^{2} + 3 x + 9)^{3}

f (x) \cdot x^{2} + 5 x - 6