Factorise x^4 + y^4
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Answer:
Given :-
➪ x⁴ + y⁴
Solution :-
➪ x⁴ + y⁴
➭ (x²)² + (2y²)² - 2 × (x²) × (2y²) - (2xy)²
➭ (x² + 2y²)² - (2xy)²
➭ (x² + 2y² + 2xy) (x² + 2y² - 2xy)
∴ The answer of this question is
(x² + 2y² + 2xy) (x² + 2y² - 2xy)
Formula used :-
➪ a² - b²
➭ (a + b) (a - b)
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