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Step-by-step explanation:
Given -
- x - y = 7
- xy = 9
To Find -
- Value of x² + y²
As we know that :-
- (x - y)² = x² - 2xy + y²
» (7)² = x² + y² - 2(9)
» x² + y² = 49 + 18
» x² + y² = 67
Hence,
The value of x² + y² is 67
Additional information :-
Some related formulas :-
- (x + y)² = x² + 2xy + y²
- (x - y)² = x² - 2xy + y²
- (x + y)(x - y) = x² - y²
- (x + y)³ = x³ + y³ + 3x²y + 3y²x
- (x - y)³ = x³ - y³ - 3x²y + 3y²x
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