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

The solution to expand ((x+4)(x-3)^2)/(x^4(x-1)) is (x^3-2x^2-15x+36)/(x^5-x^4)

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

expand

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

\frac{x ^{3} - 2 x ^{2} - 15 x + 36}{x ^{5} - x ^{4}}

Solution steps

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

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

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

Expand

x^{4} (x - 1) : x^{5} - x^{4}

= \frac{( x + 4 ) ( x ^{2} - 6 x + 9 )}{x ^{5} - x ^{4}}

Expand

(x + 4) (x^{2} - 6 x + 9) : x^{3} - 2 x^{2} - 15 x + 36

= \frac{x ^{3} - 2 x ^{2} - 15 x + 36}{x ^{5} - x ^{4}}

(x + 5)^{4}

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

(cos (β) - 1) (sin (β) - 1)

(s + 170) (s^{2} - 2025) (s + 20 π)

(2 + cos (2 θ))^{2}

What is expand ((x+4)(x-3)^2)/(x^4(x-1)) ?
The solution to expand ((x+4)(x-3)^2)/(x^4(x-1)) is (x^3-2x^2-15x+36)/(x^5-x^4)