What is expand (x^4+8x^3-x^2+2x+1)/((x^2+3)(x^3+1)) ?

The solution to expand (x^4+8x^3-x^2+2x+1)/((x^2+3)(x^3+1)) is (x^4+8x^3-x^2+2x+1)/(x^5+x^2+3x^3+3)

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expand (x^4+8x^3-x^2+2x+1)/((x^2+3)(x^3+1))

expand

\frac{x ^{4} + 8 x ^{3} - x ^{2} + 2 x + 1}{( x ^{2} + 3 ) ( x ^{3} + 1 )}

\frac{x ^{4} + 8 x ^{3} - x ^{2} + 2 x + 1}{x ^{5} + x ^{2} + 3 x ^{3} + 3}

Solution steps

\frac{x ^{4} + 8 x ^{3} - x ^{2} + 2 x + 1}{( x ^{2} + 3 ) ( x ^{3} + 1 )}

Expand

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

= \frac{x ^{4} + 8 x ^{3} - x ^{2} + 2 x + 1}{x ^{5} + x ^{2} + 3 x ^{3} + 3}

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

(5 x^{2} - y^{2}) d x + (x y) d y

(e^{z} - 1)^{2}

(x^{2} + x y - y^{2}) d x - x y d y

What is expand (x^4+8x^3-x^2+2x+1)/((x^2+3)(x^3+1)) ?
The solution to expand (x^4+8x^3-x^2+2x+1)/((x^2+3)(x^3+1)) is (x^4+8x^3-x^2+2x+1)/(x^5+x^2+3x^3+3)