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

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

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

expand

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

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

Solution steps

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

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

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

Expand

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

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

(4 e - 3 f)^{3}

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

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

\frac{( 1 - cos ( x ) ) ^{2}}{x}

\frac{3 x + 5}{( x - 1 ) ( x ^{4} + 7 )}

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