1.

Find the value of (x+y)² + (x-y)2​

Answer»

{(x + y)}^{2} + {(x - y)}^{2} \\ = {(x}^{2} + 2xy + {y}^{2} ) + ( {x}^{2} - 2xy + {y}^{2} ) \\ = {x}^{2} + 2xy + {y}^{2} + {x}^{2} - 2xy + {y}^{2} \\ combining \: like \: terms \\ {x}^{2} + {x}^{2} + {y}^{2} + {y}^{2} + 2xy - 2xy \\ = 2 {x}^{2} + 2 {y}^{2}

( + 2xy - 2xy)get \: cancels \: out \\

∴Answer is

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


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