Keerthana
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If x + y = 7, then what is the value of x3 + y3 + 21xy ?

a

288

b

49

c

294

d

343

Answer : Option D
Explanation :

x + y = 7 (Given)

∴ (x + y)³ = 7³ = 343

⇒ x³ + y³ + 3xy (x + y) = 343

⇒ x³ + y³ + 21xy = 343

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