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

The solution to expand (x^2+x+4)/((x+2)(x^2-9x+2)) is (x^2+x+4)/(x^3-7x^2-16x+4)

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

expand

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

\frac{x ^{2} + x + 4}{x ^{3} - 7 x ^{2} - 16 x + 4}

Solution steps

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

Expand

(x + 2) (x^{2} - 9 x + 2) : x^{3} - 7 x^{2} - 16 x + 4

= \frac{x ^{2} + x + 4}{x ^{3} - 7 x ^{2} - 16 x + 4}

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

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

(x^{2}) ((cos^{2} (x)) + sin (x))

3 (e - 2)

e^{- x k} \cdot x k - e^{- x (t - k)}

What is expand (x^2+x+4)/((x+2)(x^2-9x+2)) ?
The solution to expand (x^2+x+4)/((x+2)(x^2-9x+2)) is (x^2+x+4)/(x^3-7x^2-16x+4)