Question

x + y = 2 এবং x² + y² = 4 হলে, x³ + y³ এর মান কত?

Options

1

2

Correct Answer
2

8

Correct Answer
3

0

Correct Answer
4

14

Correct Answer

Explanation

দেওয়া আছে, x² + y² = (x+y)² - 2xy => 4 = 2² - 2xy => 4 = 4 - 2xy => 2xy = 0 => xy = 0। এখন, x³ + y³ = (x+y)³ - 3xy(x+y) = 2³ - 3*0*2 = 8 - 0 = 8।

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Type Single Choice
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