If x - y = 25 and xy = 444, compute the value of x3 – y3
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Correct answer: B
Explanation
The correct answer is option 2 i.e. 48,925.
Given that
x - y = 25
xy = 444
x3 - y3 = (x - y)(x2 + y2 + xy)
Hence, (x - y)2 = 252
⇒ x2 + y2 - 2xy = 625
⇒ x2 + y2 - 888 = 625
⇒ x2 + y2 = 1513
Hence, x3 - y3 = 25(1513 + 444) = 48925.