What is expand (5(x+1)^2)/(x^2+1) ?

The solution to expand (5(x+1)^2)/(x^2+1) is (5x^2+10x+5)/(x^2+1)

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expand (5(x+1)^2)/(x^2+1)

expand

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

\frac{5 x ^{2} + 10 x + 5}{x ^{2} + 1}

Solution steps

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

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

= \frac{5 ( x ^{2} + 2 x + 1 )}{x ^{2} + 1}

Expand

5 (x^{2} + 2 x + 1) : 5 x^{2} + 10 x + 5

= \frac{5 x ^{2} + 10 x + 5}{x ^{2} + 1}

\frac{10 ( 3929 - 3 )}{49}

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

\frac{\partial}{\partial t} ((t) (v^{6} + uv w))

(x - \frac{1}{2} ln (x)) \cdot x

(4 - 4 + x)^{2}

What is expand (5(x+1)^2)/(x^2+1) ?
The solution to expand (5(x+1)^2)/(x^2+1) is (5x^2+10x+5)/(x^2+1)