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

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

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expand (xsqrt(x+1)+2sqrt(x+1))/(2(x+1)^2)

expand

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

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

Solution steps

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

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

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

Expand

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

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

\frac{x}{( x + 1 ) \cdot ( x + 2 ) \cdot ( x + 3 )}

4 (z - 1) (z - e^{α})

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

lo g_{\frac{1}{2}} (x y)

x (y = 2 x^{2} + 4 x - 6)

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