What is expand (3x^4-7x^3+6kx^2+12k^2x-2)/((x-1)^2) ?

The solution to expand (3x^4-7x^3+6kx^2+12k^2x-2)/((x-1)^2) is (3x^4-7x^3+6kx^2+12k^2x-2)/(x^2-2x+1)

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expand (3x^4-7x^3+6kx^2+12k^2x-2)/((x-1)^2)

expand

\frac{3 x ^{4} - 7 x ^{3} + 6 k x ^{2} + 12 k ^{2} x - 2}{( x - 1 ) ^{2}}

\frac{3 x ^{4} - 7 x ^{3} + 6 k x ^{2} + 12 k ^{2} x - 2}{x ^{2} - 2 x + 1}

Solution steps

\frac{3 x ^{4} - 7 x ^{3} + 6 k x ^{2} + 12 k ^{2} x - 2}{( x - 1 ) ^{2}}

(x - 1)^{2} = x^{2} - 2 x + 1

= \frac{3 x ^{4} - 7 x ^{3} + 6 k x ^{2} + 12 k ^{2} x - 2}{x ^{2} - 2 x + 1}

\frac{( x - 1 ) ( y + 2 )}{( y - x ) ( y - x ^{3} )}

3 (3 x^{2} - 5 x - 2)^{2}

(1 + i)^{5}

\frac{x ^{2} - 4 x + 9}{( x - 1 ) ^{2}}

What is expand (3x^4-7x^3+6kx^2+12k^2x-2)/((x-1)^2) ?
The solution to expand (3x^4-7x^3+6kx^2+12k^2x-2)/((x-1)^2) is (3x^4-7x^3+6kx^2+12k^2x-2)/(x^2-2x+1)