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

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

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expand ((x+1)^4)/((x-1)*(x-2))

expand

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

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

Solution steps

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

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

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

Expand

(x - 1) (x - 2) : x^{2} - 3 x + 2

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

\frac{\frac{d}{d x} ( z ^{2} )}{( z + i ) ^{2}}

(π + e) (π - e)

\frac{30 a ^{2} + 6 a - 24}{5 a ( a - 4 )}

x^{2} - 5 (- 2, - 1)

\frac{0.0125 s ^{2} + s + 25}{( 0.5 s + 25 ) ( 0.025 s + 1 )}

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