What is factor x^4-4x^3+16x-16 ?

The solution to factor x^4-4x^3+16x-16 is (x-2)^3(x+2)

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factor x^4-4x^3+16x-16

factor

x^{4} - 4 x^{3} + 16 x - 16

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

Solution steps

x^{4} - 4 x^{3} + 16 x - 16

Use the rational root theorem

= (x - 2) \frac{x ^{4} - 4 x ^{3} + 16 x - 16}{x - 2}

\frac{x ^{4} - 4 x ^{3} + 16 x - 16}{x - 2} = x^{3} - 2 x^{2} - 4 x + 8

= (x - 2) (x^{3} - 2 x^{2} - 4 x + 8)

Factor

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

= (x - 2) (x - 2) (x + 2) (x - 2)

Apply exponent rule:

aaa = a^{3}

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

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

\frac{n - 3}{4} + \frac{n + 5}{7} = \frac{5}{14}

F = 4.6 (9.8 \cdot 3.8)

100 = 25 x^{2}

\frac{3 8}{3 12}

3 x^{2} - 9 x - 54

What is factor x^4-4x^3+16x-16 ?
The solution to factor x^4-4x^3+16x-16 is (x-2)^3(x+2)