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(X+2) is raised to the fifth power period the third term of the expansion is:

(X+2) is raised to the fifth power period the third term of the expansion is:-example-1
User Tim Pohlmann
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1 Answer

5 votes
5 votes

Solution

- The Binomial expansion formula is given by:


(x+y)^n=\sum_(k=0)^n(^nC_k)x^(n-k)y^k

- Applying this formula to our expression, we have:


(x+2)^5=^5C_ox^5(2^0)+^5C_1x^4(2^1)+^5C_2x^3(2^2)+...

- From the above, we can see that the 3rd term is


^5C_2x^3(2^2)=C(5,2)x^32^2

Final Answer

The answer is


C(5,2)x^32^2\text{ \lparen OPTION 3\rparen}

User TheVigilant
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