What is factor 8+36x+54x^2+27x^3 ?

The solution to factor 8+36x+54x^2+27x^3 is (3x+2)^3

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factor 8+36x+54x^2+27x^3

factor

8 + 36 x + 54 x^{2} + 27 x^{3}

(3 x + 2)^{3}

Solution steps

8 + 36 x + 54 x^{2} + 27 x^{3}

Write in the standard form

= 27 x^{3} + 54 x^{2} + 36 x + 8

Use the rational root theorem

= (3 x + 2) \frac{27 x ^{3} + 54 x ^{2} + 36 x + 8}{3 x + 2}

\frac{27 x ^{3} + 54 x ^{2} + 36 x + 8}{3 x + 2} = 9 x^{2} + 12 x + 4

= (3 x + 2) (9 x^{2} + 12 x + 4)

Factor

9 x^{2} + 12 x + 4 : (3 x + 2) (3 x + 2)

= (3 x + 2) (3 x + 2) (3 x + 2)

Apply exponent rule:

aaa = a^{3}

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

= (3 x + 2)^{3}

x^{4} y^{2} - 10 x^{2} y^{4} + 9 y^{6}

8 m^{4} - 36 m^{3} m^{2}

(i - a)^{- 1}

2 e^{z + 2}

\frac{6 n ^{- 3} y}{2 n ^{- 1} y ^{- 3}}

What is factor 8+36x+54x^2+27x^3 ?
The solution to factor 8+36x+54x^2+27x^3 is (3x+2)^3