What is (sqrt(a+b)-sqrt(a-b))^2 ?

The solution to (sqrt(a+b)-sqrt(a-b))^2 is 2a-2sqrt(a+b)sqrt(a-b)

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simplify (sqrt(a+b)-sqrt(a-b))^2

simplify

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

2 a - 2 a + b a - b

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(a + b)^{2} - 2 a + b a - b + (a - b)^{2} : 2 a - 2 a + b a - b

= 2 a - 2 a + b a - b

\frac{1}{3} + \frac{2}{9} (1.2 - 1)

(x + 1)^{2} - 3 (x + 1)^{\frac{2}{3}}

(2 + e^{x})^{3}

y d y - (2 x y + x) d x

(\frac{1}{x} - x) (\frac{1}{x} + x)

What is (sqrt(a+b)-sqrt(a-b))^2 ?
The solution to (sqrt(a+b)-sqrt(a-b))^2 is 2a-2sqrt(a+b)sqrt(a-b)