Given the binomial: (x-2/x2)9

Question

(x-2/x²)⁹ ----> -2 divided by x squared is the fraction

a. Determine the second last term in simplest form.

b. Determine the coefficient of the simplified term containing the variable x⁶

c. Does the expansion for this binomial contain a simplified term with x² ? Justify your answer.

Answer 1

a. the coefficient is 9 combination 8=9, and x exponent --15,,,,,9x^-15

b.it is the 2nd term since x⁸/x²=x⁶, coefficient is 9 combination 1=9

c. the progression of exponent for x is 9,6,3,0,... down to -18. It does not include 2

correction:

a. the coefficient for second to last term (I said 9) must be multiplied by 2⁸ so coefficient

is 9*256

b. the coefficient for second term (I said was 9) must be multiplied by 2