What is expand ((x-3)^2)/((x-1)^4) ?

The solution to expand ((x-3)^2)/((x-1)^4) is (x^2-6x+9)/(x^4-4x^3+6x^2-4x+1)

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expand ((x-3)^2)/((x-1)^4)

expand

\frac{( x - 3 ) ^{2}}{( x - 1 ) ^{4}}

\frac{x ^{2} - 6 x + 9}{x ^{4} - 4 x ^{3} + 6 x ^{2} - 4 x + 1}

Solution steps

\frac{( x - 3 ) ^{2}}{( x - 1 ) ^{4}}

(x - 1)^{4} = x^{4} - 4 x^{3} + 6 x^{2} - 4 x + 1

= \frac{( x - 3 ) ^{2}}{x ^{4} - 4 x ^{3} + 6 x ^{2} - 4 x + 1}

(x - 3)^{2} = x^{2} - 6 x + 9

= \frac{x ^{2} - 6 x + 9}{x ^{4} - 4 x ^{3} + 6 x ^{2} - 4 x + 1}

(x^{2} + 4) \frac{d y}{d x}

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

4 (x \frac{d y}{d x} + y)

(3, - 1) x (- 1, 3)

\frac{( 7 - s )}{( ( s - 1 ) ( s - 4 ) )}

What is expand ((x-3)^2)/((x-1)^4) ?
The solution to expand ((x-3)^2)/((x-1)^4) is (x^2-6x+9)/(x^4-4x^3+6x^2-4x+1)