What is expand (4x^2-15x-1)/((x-1)(x+2)(x-3)) ?

The solution to expand (4x^2-15x-1)/((x-1)(x+2)(x-3)) is (4x^2-15x-1)/(x^3-2x^2-5x+6)

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expand (4x^2-15x-1)/((x-1)(x+2)(x-3))

expand

\frac{4 x ^{2} - 15 x - 1}{( x - 1 ) ( x + 2 ) ( x - 3 )}

\frac{4 x ^{2} - 15 x - 1}{x ^{3} - 2 x ^{2} - 5 x + 6}

Solution steps

\frac{4 x ^{2} - 15 x - 1}{( x - 1 ) ( x + 2 ) ( x - 3 )}

Expand

(x - 1) (x + 2) (x - 3) : x^{3} - 2 x^{2} - 5 x + 6

= \frac{4 x ^{2} - 15 x - 1}{x ^{3} - 2 x ^{2} - 5 x + 6}

π (x + 1)^{2}

\frac{- 3 x ^{2} + 10}{x ^{2} ( x ^{4} - 25 )}

(1 - cos^{2} (x))^{3}

(cos (x) - 1) (sin (x) - 1)

\frac{1}{s ( s + 3 )}

What is expand (4x^2-15x-1)/((x-1)(x+2)(x-3)) ?
The solution to expand (4x^2-15x-1)/((x-1)(x+2)(x-3)) is (4x^2-15x-1)/(x^3-2x^2-5x+6)