What is (x^3-4x^2+8x-8)/(x-2) ?

The solution to (x^3-4x^2+8x-8)/(x-2) is x^2-2x+4

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simplify (x^3-4x^2+8x-8)/(x-2)

simplify

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

x^{2} - 2 x + 4

Solution steps

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

Factor

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

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

Cancel the common factor:

x - 2

= x^{2} - 2 x + 4

\frac{1}{2} - \frac{1}{2} i

\frac{1}{5} \cdot 30

32 - 2

\frac{6}{7} \cdot \frac{1}{2}

1 \cdot \frac{1}{7}

What is (x^3-4x^2+8x-8)/(x-2) ?
The solution to (x^3-4x^2+8x-8)/(x-2) is x^2-2x+4