a3 + b3 = 144, a + b = 6 হলে, ab = কত?

a³ + b³ = 144, a + b = 6 হলে, ab = কত?

A 2

B 4

C 6

D 8

Solution

Correct Answer: Option B

দেওয়া আছে,
a³ + b³ = 144
a + b = 6

এখন,
a³ + b³ = (a + b)³ - {3ab × (a + b)}
বা, 144 = 6³ - (3ab × 6)
বা, 144 = 216 - 18ab
বা, 18ab = 216 - 144
বা, 18ab = 72
বা, ab = 72/18
∴ ab = 4

Solution

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