Find the coefficient of x Superscript 0 in the expansion of (x squared plus StartFraction 1 Over x EndFraction) Superscript 6 Baseline.

Answer:15

Step-by-step explanation:

(a^ (2) + a^ (-1)) ^ (6)

=

(a^ (2) + a^ (-1)) (a^ (2) + a^ (-1)) (a^ (2) + a^ (-1)) (a^ (2) + a^ (-1)) (a^ (2) + a^ (-1)) (a^ (2) + a^ (-1))

Applying pascal's triangle ad expanding

15 + ((1) / (a^ (6))) + ((6) / (a^ (3))) + 20a^ (3) + 15a^ (6) + 6a^ (9) + a^ (12)

15x^0 = 15, since 15 is the number in front of the variable x^0