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What is the real part of (11 + i)^3?

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+1 vote
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in Mathematics - Class 11 by (789k points)
What is the real part of (11 + i)^3?

(a) 1331

(b) 1332

(c) 1328

(d) 1329

This question was addressed to me in semester exam.

I would like to ask this question from Binomial Theorem for Positive Integral Index in portion Binomial Theorem of Mathematics – Class 11

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The correct option is (c) 1328

Easy explanation: (11 + i)^3 = 11^3 + 3.11^2.i +3.i^2.11 +i^3

= 1331 + 363i – 3 – i

= 1328 + 365i.

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