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Question: The expression \(\frac{1}{\sqrt{4x + 1}}\left\{ \left( \frac{1 + \sqrt{4x + 1}}{2} \right)^{7}–\left...

The expression 14x+1{(1+4x+12)7(14x+12)7}\frac{1}{\sqrt{4x + 1}}\left\{ \left( \frac{1 + \sqrt{4x + 1}}{2} \right)^{7}–\left( \frac{1–\sqrt{4x + 1}}{2} \right)^{7} \right\}is a polynomial in x of degree

A

7

B

5

C

4

D

3

Answer

3

Explanation

Solution

$$$\left. \ +^{7}C_{5}\left( \sqrt{4x + 1} \right)^{5} +^{7}C_{7}\left( \sqrt{4x + 1} \right)^{7} \right\rbrack$ It is polynomial of degree 3