Question

Solve: (x+y)2 × (x-y)2

Answer 1

Note: Check this attachment..!!

Answer 2

Answer : [(x+y)(x-y)]²

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Solution :

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${(x + y)}^{2} {(x - y)}^{2} \\ \\ = > ( {x}^{2} + 2xy + {y}^{2} )( {x}^{2} - 2xy + {y}^{2} ) \\ \\ = > {x}^{4} - 2 {x}^{3} y + {x}^{2} {y}^{2} + 2 {x}^{3} y - 4 {x}^{2} {y}^{2} + 2x {y}^{3} + {x}^{2} {y}^{2} - 2x {y}^{3} + {y}^{4} \\ \\ = > {x}^{4} - 2 {x}^{2} {y}^{2} + {y}^{4}$

Now,

x⁴-2x²y²+y⁴

=> (x²-y²)²

=> [(x+y)(x-y)]²