Algebramedium · Past Paper

If x + y = 5 and xy = 6, find the value of x^3 + y^3.

A35
B125
C95
D65

✓ Correct Answer: A35

x^3 + y^3 = (x+y)^3 - 3xy(x+y) = 5^3 - 3(6)(5) = 125 - 90 = 35.

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