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Question

Question: The middle term in the expansion of \((3x + a)^{5}\) is ....

The middle term in the expansion of (3x+a)5(3x + a)^{5} is .

A

(x+2a)3(x + 2a)^{3}

B

(a+b)m=am+mam1b(a + b)^{m} = a^{m} + ma^{m - 1}b

C

+m(m1)1.2am2b2+....+ \frac{m(m - 1)}{1.2}a^{m - 2}b^{2} + ....

D

b<ab < a

Answer

(a+b)m=am+mam1b(a + b)^{m} = a^{m} + ma^{m - 1}b

Explanation

Solution

Middle term of 9C3.1639C_{3}.\frac{1}{6^{3}}is 9C3(32)39C_{3}\left( \frac{3}{2} \right)^{3}.