যদি x - y = 7 এবং xy = 5 হয়, তবে x3 - y3 + 8(x + y)2 এর মান কত?

A 1308

B 1000

C 1304

D 1348

Solution

Correct Answer: Option B

x3 - y3 + 8(x + y)2
= (x - y)3 + 3xy (x - y) + 8{(x - y)2 +4xy}
= (7)3 + 3 × 5 × 7 + 8(72 + 4 × 5)
= 343 + 105 + 8(49+20)
= 343 + 105 + 552
= 1000

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