What is factor 1-8x+18x^2-27x^4 ?

The solution to factor 1-8x+18x^2-27x^4 is -(x+1)(3x-1)^3

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factor 1-8x+18x^2-27x^4

factor

1 - 8 x + 18 x^{2} - 27 x^{4}

- (x + 1) (3 x - 1)^{3}

Solution steps

1 - 8 x + 18 x^{2} - 27 x^{4}

Write in the standard form

= - 27 x^{4} + 18 x^{2} - 8 x + 1

Factor out

- 1 : - (27 x^{4} - 18 x^{2} + 8 x - 1)

= - (27 x^{4} - 18 x^{2} + 8 x - 1)

Factor

27 x^{4} - 18 x^{2} + 8 x - 1 : (x + 1) (3 x - 1) (3 x - 1) (3 x - 1)

= - (x + 1) (3 x - 1) (3 x - 1) (3 x - 1)

Apply exponent rule:

aaa = a^{3}

(3 x - 1) (3 x - 1) (3 x - 1) = (3 x - 1)^{3}

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

x^{3} \times x

\frac{3 - i}{4} - \frac{2 + i}{3}

32 \times 5

\frac{1}{2} \cdot (- 2)

4 a + 7 b + 5 a - b

What is factor 1-8x+18x^2-27x^4 ?
The solution to factor 1-8x+18x^2-27x^4 is -(x+1)(3x-1)^3