What is expand (1+x^2)/(sqrt(1+x)) ?

The solution to expand (1+x^2)/(sqrt(1+x)) is ((1+x^2)sqrt(1+x))/(1+x)

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expand (1+x^2)/(sqrt(1+x))

expand

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

\frac{( 1 + x ^{2} ) 1 + x}{1 + x}

Solution steps

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

Multiply by the conjugate

\frac{1 + x}{1 + x}

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

1 + x 1 + x = 1 + x

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

(2 x - \frac{1}{2} y)^{5}

\frac{16 s}{( s ^{2} + 1 ) ^{2} ( s ^{2} + 4 )}

\frac{v + 6}{( v + 8 ) ( v - 4 )}

\frac{5}{2 ( 1 + 2 i ) ^{2}}

5 - (\frac{5 ( 3 - 3 )}{3})

What is expand (1+x^2)/(sqrt(1+x)) ?
The solution to expand (1+x^2)/(sqrt(1+x)) is ((1+x^2)sqrt(1+x))/(1+x)