What is (sqrt(x+1)-sqrt(x-1))^2 ?

The solution to (sqrt(x+1)-sqrt(x-1))^2 is 2x-2sqrt(x+1)sqrt(x-1)

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simplify (sqrt(x+1)-sqrt(x-1))^2

simplify

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

2 x - 2 x + 1 x - 1

Solution steps

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

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

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

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

Simplify

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

= 2 x - 2 x + 1 x - 1

\frac{( s + 1 ) ^{3}}{s ^{4}}

(x - x)^{2}

L im x \Rightarrow \frac{1}{2} (x + 3)

(\frac{5}{7} x - \frac{1}{3} y) (\frac{5}{7} x + \frac{1}{3} y)

(x - 1 + 2) (x - 1 - 2)

What is (sqrt(x+1)-sqrt(x-1))^2 ?
The solution to (sqrt(x+1)-sqrt(x-1))^2 is 2x-2sqrt(x+1)sqrt(x-1)