Mathematics - Binomial Theorem Question with Solution | TestHub

MathematicsBinomial TheoremGeneralEasy2 minPYQ_2013

MathematicsEasysingle choice

The coefficient of the middle term in the expansion of $(2 + 3 x)^{4}$ is:

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Answer:

Solution:

When exponent is $n$ then total number of terms are $n + 1.$ So, total number of terms in $(2 + 3 x)^{4} = 5$ Middle term is 3rd. $\Rightarrow T_{3} =^{4} C_{2} (2)^{2} \cdot (3 x)^{2}$ $= \frac{4 \times 3 \times 2 \times 1}{2 \times 1 \times 2} \times 4 \times 9 x^{2} = 216 x^{2}$

Stream:BITSATSubject:MathematicsTopic:Binomial TheoremSubtopic:General

⏱ 2mℹ️ Source: PYQ_2013

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