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Question 20 Find the coefficient of the x4 term in the expansion of x$^2$ (2x + 1/x)$^6$ Select one: A. 15 B. 120 C. 240 D. 60 E. 30

          Question 20
Find the coefficient of the x4 term in the expansion of
x$^2$ (2x + 1/x)$^6$
Select one:
A. 15
B. 120
C. 240
D. 60
E. 30

Added by Stacy A.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Prabhakar Kumar

Step 1

The binomial theorem states that (a + b)^n = C(n,0)a^n b^0 + C(n,1)a^(n-1) b^1 + C(n,2)a^(n-2) b^2 + ... + C(n,n-1)a^1 b^(n-1) + C(n,n)a^0 b^n In this case, a = x^2, b = 2x, and n = 10. So, the expansion becomes: (x^2 + 2x + 1)^10 = C(10,0)(x^2)^10 (2x)^0 + Show more…

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JON Question 20 Not yet answered Find Ihe coofficiont of Iho X4 term in Ihe expansion of 10 Marked out 0( x2 2x Ix) Aie 20 Flag' question Select one: A 15 B. 120 C.240 D. 60 E.30 Next