What is ((x^5+2x^3+3x))/((x^2+x)) ?

The solution to ((x^5+2x^3+3x))/((x^2+x)) is (x^4+2x^2+3)/(x+1)

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simplify ((x^5+2x^3+3x))/((x^2+x))

simplify

\frac{( x ^{5} + 2 x ^{3} + 3 x )}{( x ^{2} + x )}

\frac{x ^{4} + 2 x ^{2} + 3}{x + 1}

Solution steps

\frac{x ^{5} + 2 x ^{3} + 3 x}{x ^{2} + x}

Factor

x^{5} + 2 x^{3} + 3 x : x (x^{4} + 2 x^{2} + 3)

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

Factor

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

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

Cancel the common factor:

x

= \frac{x ^{4} + 2 x ^{2} + 3}{x + 1}

\frac{3 ^{- 1} + 4 ^{- 1}}{5 ^{- 1}}

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

(3 - 2 i)^{10}

lo g_{6} (6) + lo g_{6} (36) + lo g_{6} (216)

2 c i s (\frac{- π}{3})

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