Question

Find the value of (x+y)²+(x-y)²

Answer 1

Answer:

2x²+2y²

Step-by-step explanation:

(x+y)²+(x-y)²

x²+2xy+y² + x²-2xy+y²

so x²+x²+y²+y²

2x²+2y²

Answer 2

(x + y)² + (x - y)² = 2x² + 2y²

Given :

The expression (x + y)² + (x - y)²

To find :

The value of the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

(x + y)² + (x - y)²

Step 2 of 2 :

Simplify the given expression

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

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

$\sf = {x}^{2} + 2xy + {y}^{2} + {x}^{2} - 2xy + {y}^{2}$

$\sf = {x}^{2}+ {y}^{2} + {x}^{2} + {y}^{2}$

$\sf =2 {x}^{2}+ 2{y}^{2}$

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