a³-b³ = 513 & a-b= 3 হয়,তবে ab =?
Solution
Correct Answer: Option A
দেওয়া আছে, a3 - b3 = 513
⇒ (a-b)3 + 3ab(a-b) = 513
⇒ 33 + 3.ab.3 = 513
⇒ 27 + 9ab = 513
⇒ 9ab = 513 - 27 = 486
⇒ ab = 486/9 = 54
⇒ (a-b)3 + 3ab(a-b) = 513
⇒ 33 + 3.ab.3 = 513
⇒ 27 + 9ab = 513
⇒ 9ab = 513 - 27 = 486
⇒ ab = 486/9 = 54
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