5. Factorize: x⁴ + y⁴ - 3x²y²
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x^4 + y^4 - 3x²y²
= x^4 + y^4 - 2x²y² - x²y²
= (x²)² + (y²)² - 2x²y² - x²y²
= ( x²- y²)² - (xy)²
= ( x²- y² - xy )( x² - y² + xy )
[ ∵ a²- b² = ( a + b )( a - b )]
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