Question
If (x - y) = 5, then find the value of (x³ - y³ -
15xy).Solution
We know that,
(x - y³ = x³ - y³ - 3xy(x - y)
Given, (x - y) = 5
⇒ (x - y) ³ = 5³ = 125
⇒ x³ - y³ - 3xy × 5 = 125
⇒ x³ - y³ - 15xy = 125
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