Question

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

Answer 1

Answer:15

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