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

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

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

expand

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

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

Solution steps

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

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

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

Expand

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

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

\frac{10 x ^{2} + 20 x + 45}{( x + 4 ) ( x ^{2} + 9 )}

(0.5 - \frac{3}{2} i)^{4}

e^{x} (6 x - 3 x^{2})

(e^{x} + e^{- 2 x}) (2 e^{2 x} + e^{x})

\frac{x ( 4 x ^{4} - 10 x ^{2} - 5 )}{2}

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