What is expand ysqrt(x+1-In)(1+sqrt(x+1)) ?

The solution to expand ysqrt(x+1-In)(1+sqrt(x+1)) is ysqrt(x+1-In)+ysqrt(x^2+2x+1-nxI-nI)

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expand ysqrt(x+1-In)(1+sqrt(x+1))

expand

y x + 1 - I n (1 + x + 1)

y x + 1 - I n + y x^{2} + 2 x + 1 - n x I - n I

Solution steps

y x + 1 - I n (1 + x + 1)

Apply the distributive law:

a (b + c) = ab + a c

y x + 1 - I n (1 + x + 1) = y x + 1 - I n \cdot 1 + y x + 1 - I n x + 1

= y x + 1 - I n \cdot 1 + y x + 1 - I n x + 1

Simplify

y x + 1 - I n \cdot 1 + y x + 1 - I n x + 1 : y x + 1 - I n + y x^{2} + 2 x + 1 - n x I - n I

= y x + 1 - I n + y x^{2} + 2 x + 1 - n x I - n I

e^{\frac{x}{y}} (1 - \frac{x}{y})

\frac{4 ( cos ( x ) - x sin ( x ) )}{sin ( y ) + y cos ( y )}

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

(5, - 2) y (- 1, 2)

(x + Δ x - 1)^{2}

What is expand ysqrt(x+1-In)(1+sqrt(x+1)) ?
The solution to expand ysqrt(x+1-In)(1+sqrt(x+1)) is ysqrt(x+1-In)+ysqrt(x^2+2x+1-nxI-nI)