Find the coefficient of x superscript 0 in the expansion of (x squared plus startfraction 1 over x endfraction )superscript 6 baseline .

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

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step-by-step explanation: