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

The solution to expand ((x+3)(2x-1))/((2x+1)^2) is (2x^2+5x-3)/(4x^2+4x+1)

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

expand

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

\frac{2 x ^{2} + 5 x - 3}{4 x ^{2} + 4 x + 1}

Solution steps

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

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

= \frac{( x + 3 ) ( 2 x - 1 )}{4 x ^{2} + 4 x + 1}

Expand

(x + 3) (2 x - 1) : 2 x^{2} + 5 x - 3

= \frac{2 x ^{2} + 5 x - 3}{4 x ^{2} + 4 x + 1}

(x - \frac{2}{x ^{2}})^{9}

6 (11 + 7)

(6 + 2 i)^{2}

(4 - \frac{x}{16})^{6} (x - \frac{1}{x})^{2}

\frac{\frac{d}{d x} ( 5 )}{4 ( 3 x ^{2} + 6 x ^{4} + 2 ) ^{3}}

What is expand ((x+3)(2x-1))/((2x+1)^2) ?
The solution to expand ((x+3)(2x-1))/((2x+1)^2) is (2x^2+5x-3)/(4x^2+4x+1)