What is expand (x^2+4x-1)/((x+2)^2) ?

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

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expand (x^2+4x-1)/((x+2)^2)

expand

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

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

Solution steps

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

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

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

(x + 3) (x + 2)

(2 + 5 x)^{2}

\frac{4 x ^{3} - 21 x ^{2} - 10 x + 25}{x ^{2} ( x - 5 ) ^{2}}

\frac{6 z}{( z - 3 ) ( z + 1 )}

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

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