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

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

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factor x^3+3x+3x^2+1

factor

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

(x + 1)^{3}

Solution steps

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

Write in the standard form

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

Apply cube of sum rule:

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

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

= (x + 1)^{3}

\frac{( 4 ( y + 1 ) )}{( ( y + 1 ) ( y - 1 ) )}

\frac{20 x ^{7} - 3 x ^{6} + 12 x ^{5} - 24 x ^{4}}{- 4 x ^{4}}

27 a^{3} - 64

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- 9 x^{23} x + 2