Question
If (x - y) = 3, then find the value of (x³ - y³ -
9xy).Solution
We know that,
(x - y) ³ = x³ - y³ - 3xy(x - y)
Given, (x - y) = 3
⇒ (x - y) ³ = 3³ = 27
⇒ x³ - y³ - 3xy × 3 = 27
⇒ x³ - y³ - 9xy = 27
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