simply The following
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your answer is given above.
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(a²+b²)(a²+b²) - (a²-b²)(a²-b²)
= (a²+b²)²-(a²-b²)²
= (a²+b²-a²+b²)(a²+b²+a²-b²)
= 2b²× 2a²
= 4a²b²
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