What is expand (7x^2-9x+4)/((x-1)(x^2+2)) ?

The solution to expand (7x^2-9x+4)/((x-1)(x^2+2)) is (7x^2-9x+4)/(x^3+2x-x^2-2)

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expand (7x^2-9x+4)/((x-1)(x^2+2))

expand

\frac{7 x ^{2} - 9 x + 4}{( x - 1 ) ( x ^{2} + 2 )}

\frac{7 x ^{2} - 9 x + 4}{x ^{3} + 2 x - x ^{2} - 2}

Solution steps

\frac{7 x ^{2} - 9 x + 4}{( x - 1 ) ( x ^{2} + 2 )}

Expand

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

= \frac{7 x ^{2} - 9 x + 4}{x ^{3} + 2 x - x ^{2} - 2}

\frac{6 - 2 x}{3}

(1 + e^{- 2 t})^{2}

\frac{10}{3} x

3 (e^{x} - e^{- x})

(1 - t, 3 (1 - t) (4 + t), - (1 - t + 2 - t)) (- 1, 1, - 1)

What is expand (7x^2-9x+4)/((x-1)(x^2+2)) ?
The solution to expand (7x^2-9x+4)/((x-1)(x^2+2)) is (7x^2-9x+4)/(x^3+2x-x^2-2)