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Sagot :
Answer:
- 81
Step-by-step explanation:
- (x + y)⁴ =
- ((x + y)²)² =
- (x² + y² + 2xy)² =
- (5 + 2*2)² =
- 9² =
- 81
The given information is,
- x² + y² = 5
- xy = 2
[tex] \sf \: The \: solution \: of \: (b) \: will \: be, \\ \sf → (x + y)^4 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf → ((x + y)²)² \: \: \: \: \: \: \: \: \: \: \: \\ \sf → (x² + y² + 2xy)² \: \\ \sf → {5 + (2 × 2)}² \: \: \: \: \: \: \: \: \: \\ \sf \to (5 + 4)² \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ → \sf 9² = 81 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
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