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

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

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

factor

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

(2 x + 3)^{3}

Solution steps

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

Use the rational root theorem

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

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

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

Factor

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

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

Apply exponent rule:

aaa = a^{3}

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

= (2 x + 3)^{3}

(2 x^{2} + 1)^{6}

f (x) = (\frac{x - 1}{2})^{\frac{1}{4}} - 13 + 5 x

\frac{( 1 - x ^{2} )}{( 1 + x ^{2} )}

\frac{( 2 x ^{3} - 14 x )}{( 5 x ^{2} + 35 x )}

(\frac{x - 1}{3})^{3}

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