Question
If (x - y) = 4, then find the value of (x³ - y³ -
12xy).Solution
We know that,
(x - y) ³ = x³ - y³ - 3xy(x - y)
Given, (x - y) = 4
⇒ (x - y) ³ = 4³ = 64
⇒ x³ - y³ - 3xy × 4 = 64
⇒ x³- y³ - 12xy = 64
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