Question
If (x - y) = 2, then find the value of (x³ - y³ -
6xy).Solution
We know that,
(x - y) ³ = x³ - y³ - 3xy(x - y)
Given, (x - y) = 2
⇒ (x - y) ³ = 2³ = 8
⇒ x³ - y³ - 3xy × 2 = 8
⇒ x³ - y³ - 6xy = 8
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