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Aptitude · Q518

Algebra

Competitive Exams · Aptitude · question 518

Q518

If x - y = 3, then what is the value of x3 - y3 - 9xy?

A.
3
B.
9
C.
18
D.
27
Answer

Answer: Option D

Solution

Answer: Option D
Solution:
(x - y) = 3
(x - y)3 = 27
⇒ x3 - y3 - 3xy(x - y) = 27
⇒ x3 - y3 - 9xy = 27