What is expand (x+Δx-2)(x-2)*(sqrt(x-2)+sqrt(x+Δx-2)) ?

The solution to expand (x+Δx-2)(x-2)*(sqrt(x-2)+sqrt(x+Δx-2)) is

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expand (x+Δx-2)(x-2)*(sqrt(x-2)+sqrt(x+Δx-2))

expand

(x + Δ x - 2) (x - 2) \cdot (x - 2 + x + Δ x - 2)

Δ x^{2} x - 2 + Δ x^{2} x + Δ x - 2 - 2Δ x x - 2 - 2Δ x x + Δ x - 2 + x^{2} x - 2 + x^{2} x + Δ x - 2 - 4 x x - 2 - 4 x x + Δ x - 2 + 4 x - 2 + 4 x + Δ x - 2

Solution steps

(x + Δ x - 2) (x - 2) (x - 2 + x + Δ x - 2)

Expand

(x + Δ x - 2) (x - 2) : Δ x^{2} - 2Δ x + x^{2} - 4 x + 4

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

Expand

(Δ x^{2} - 2Δ x + x^{2} - 4 x + 4) (x - 2 + x + Δ x - 2) : Δ x^{2} x - 2 + Δ x^{2} x + Δ x - 2 - 2Δ x x - 2 - 2Δ x x + Δ x - 2 + x^{2} x - 2 + x^{2} x + Δ x - 2 - 4 x x - 2 - 4 x x + Δ x - 2 + 4 x - 2 + 4 x + Δ x - 2

= Δ x^{2} x - 2 + Δ x^{2} x + Δ x - 2 - 2Δ x x - 2 - 2Δ x x + Δ x - 2 + x^{2} x - 2 + x^{2} x + Δ x - 2 - 4 x x - 2 - 4 x x + Δ x - 2 + 4 x - 2 + 4 x + Δ x - 2

(- 1, - 1 + π) (x - 0, y + \frac{π}{2})

(u + i v)^{3}

\frac{1}{1 - 4 x}

x e^{x^{2}} d x + (y^{5} - 1) d y

6 (\frac{y ^{2} - 2 y - 1}{2} + 1)

What is expand (x+Δx-2)(x-2)*(sqrt(x-2)+sqrt(x+Δx-2)) ?
The solution to expand (x+Δx-2)(x-2)*(sqrt(x-2)+sqrt(x+Δx-2)) is