If x-2-1-2-1 and y-2-1-2-1- find the value of x2-y2-xy-

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(a + b)^2 Expansion and Visualisation

If x=√2+1√2...

Question

If $x = \frac{\sqrt{2} + 1}{\sqrt{2} - 1}$ and $y = \frac{\sqrt{2} - 1}{\sqrt{2} + 1}$ , find the value of $x^{2} + y^{2} + x y$ .

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x = \frac{\sqrt{2} + 1}{\sqrt{2} - 1}, y = \frac{\sqrt{2} - 1}{\sqrt{2} + 1}

x^{2} + x y + y^{2}

x = \sqrt{2}

y = \frac{1}{\sqrt{2}}

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

t a n \frac{1}{2} [s i n^{- 1} \frac{2 x}{1 + x^{2}} + c o s^{- 1} \frac{1 - y^{2}}{1 + y^{2}}]

| x | < 1, y > 0 a n d x y < 1

Find the value of the following:

$t a n \frac{1}{2} [s i n^{- 1} \frac{2 x}{1 + x^{2}} + c o s^{- 1} \frac{1 - y^{2}}{1 + y^{2}}], | x | < 1, y > 0 a n d x y < 1$

t a n \frac{1}{2} [s i n^{- 1} \frac{2 x}{1 + x^{2}} + c o s^{- 1} \frac{1 - y^{2}}{1 + y^{2}}]

| x | < 1, y > 0 a n d x y < 1

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