Question
If x + y = 9, then find the value of ∛(x³ + y³ +
27xy).Solution
We know,
(x + y)³ = x³ + y³ + 3xy(x + y)
Given, x + y = 9
So, 9³ = x³ + y³ + 3xy × 9
Or, 729 = x³ + y³ + 27xy
So, ∛(x³ + y³ + 27xy) = ∛729 = 9
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