x+y=2,x²+y²=4 হলে ,x³+y³ =?

A 6

B 8

C 12

D 10

Solution

Correct Answer: Option B

দেওয়া আছে ,x+y=2
এবং  x²+y²=4
      বা,(x+y)²-2xy =4
      বা,(2)²-2xy=4
      বা,-2xy=0
      বা, xy =0
অতএব ,,x³+y³ =(x+y)³-3xy(x+y)
                       =(2)³-3.0.2
                       =8-0
                       =8

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