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Combinatorics

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Constant Term in an Expansion

COMBIN-5X4GEF

What is the constant term $c_0$ in the expansion?

$$\left(x^2+2+\frac{1}{x^2}\right)^4z$$
$$=c_8x^8 + c_7x^7 + \cdots + c_0 + + c_1x\cdots + \frac{c_{-1}}{x}1x+\frac{c_{-7}}{x^7} + \frac{c_{-8}}{x^8}$$

A

$16$

B

$32$

C

$64$

D

$70$

E

$256$

F

none of the above