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If x + y = 18 and xy = 72, what is the value of x2 + y2?

Correct Answer: 180

Explanation:

Given in question,
x + y = 18
By using algebraic formula
x2 + y2 = (x + y)2 - 2xy
Put the value of x + y and xy as per given question,
x2 + y2 = (18)2 - 2 x 72
x2 + y2 = 324 - 144
x2 + y2 = 180


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