What is expand (2X^3+X+3)/((X^2+1)^2) ?

The solution to expand (2X^3+X+3)/((X^2+1)^2) is (2X^3+X+3)/(X^4+2X^2+1)

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expand (2X^3+X+3)/((X^2+1)^2)

expand

\frac{2 X ^{3} + X + 3}{( X ^{2} + 1 ) ^{2}}

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

Solution steps

\frac{2 X ^{3} + X + 3}{( X ^{2} + 1 ) ^{2}}

(X^{2} + 1)^{2} = X^{4} + 2 X^{2} + 1

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

\frac{d}{d x} ((z) (x^{2} + y^{2} + z^{2}))

\frac{5 ( 4 - 3 x ^{2} )}{( 4 + 3 x ^{2} ) ^{2}}

(3 e + 4 f)^{8}

(3 - 3) (12 + 3)

P_{1} (6, 1) P_{2} (1, - 4)

What is expand (2X^3+X+3)/((X^2+1)^2) ?
The solution to expand (2X^3+X+3)/((X^2+1)^2) is (2X^3+X+3)/(X^4+2X^2+1)