Question

a³ - b³ = 513 এবং a - b = 3 হয়, তবে ab =?

Options

1

54

Correct Answer
2

45

Correct Answer
3

55

Correct Answer
4

35

Correct Answer

Explanation

a³ - b³ = (a-b)³ + 3ab(a-b)। মান বসিয়ে পাই, 513 = (3)³ + 3ab(3) বা, 513 = 27 + 9ab বা, 9ab = 513 - 27 = 486 বা, ab = 486/9 = 54।

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