Question

${x}^{2} + y {}^{2} =$
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Answer 1

Step-by-step explanation:

( x + y )2 this is your answer dear.

Answer 2

Answer:

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${x}^{2} + {y}^{2} = \frac{{(x + y)}^{2} + {(x - y)}^{2} }{2}$

More Simply ,

x²+y² = (x+y)²−2xy

x²+y² = (x-y)²+2xy

All make use of the identity

(x+y)² = x²+y²+2xy

(x-y)² = x²+y²−2xy

It is also equal to the square of a number " z " if x,y,z form a Pythagorean Triplet.

i.e., The 3 values form a Right-angled Triangle with sides x and y and with Hypotenuse z.

Pythagoras theorem : - x² + y² = z²

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❤️ Thank you ❤️

@ItzJaan :)