What is expand (6x^3+18x^2+11x+2)/(x(6x^2+5x+1)) ?

The solution to expand (6x^3+18x^2+11x+2)/(x(6x^2+5x+1)) is (6x^3+18x^2+11x+2)/(6x^3+5x^2+x)

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expand (6x^3+18x^2+11x+2)/(x(6x^2+5x+1))

expand

\frac{6 x ^{3} + 18 x ^{2} + 11 x + 2}{x ( 6 x ^{2} + 5 x + 1 )}

\frac{6 x ^{3} + 18 x ^{2} + 11 x + 2}{6 x ^{3} + 5 x ^{2} + x}

Solution steps

\frac{6 x ^{3} + 18 x ^{2} + 11 x + 2}{x ( 6 x ^{2} + 5 x + 1 )}

Expand

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

= \frac{6 x ^{3} + 18 x ^{2} + 11 x + 2}{6 x ^{3} + 5 x ^{2} + x}

- \frac{2}{4} (1 - s) (1 - t) + (- \frac{1}{4}) (1 + s) (1 - t)

(sin (x) + cos (x)) (sec (x) + csc (x))

\frac{125 + 4 x - 9 x ^{2}}{( x - 1 ) ( x + 3 ) ( x + 4 )}

\frac{d ^{2}}{d x ^{2}} ((y) ((3 x - 2)^{4}))

\frac{d}{d y} ((z (x)) (x y + sin (x y) + x))

What is expand (6x^3+18x^2+11x+2)/(x(6x^2+5x+1)) ?
The solution to expand (6x^3+18x^2+11x+2)/(x(6x^2+5x+1)) is (6x^3+18x^2+11x+2)/(6x^3+5x^2+x)