What is expand ((x^3-6x^2+10x-4))/((x-2)) ?

The solution to expand ((x^3-6x^2+10x-4))/((x-2)) is x^2-4x+2

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expand ((x^3-6x^2+10x-4))/((x-2))

expand

\frac{( x ^{3} - 6 x ^{2} + 10 x - 4 )}{( x - 2 )}

x^{2} - 4 x + 2

Solution steps

\frac{x ^{3} - 6 x ^{2} + 10 x - 4}{x - 2}

Factor

x^{3} - 6 x^{2} + 10 x - 4 : (x - 2) (x^{2} - 4 x + 2)

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

Cancel the common factor:

x - 2

= x^{2} - 4 x + 2

(d n + 2) (2 n + d n + m)^{2}

(x - y) d x + x y d y

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

\frac{2 ( 2 c + 1 )}{c + 1}

What is expand ((x^3-6x^2+10x-4))/((x-2)) ?
The solution to expand ((x^3-6x^2+10x-4))/((x-2)) is x^2-4x+2