Question

Determine the 7th term in the expansion of (x-2y)^12.
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Answer 1

Answer:

The 7th term in the expansion of (x+2y)^12 is

12C6 x^6 (2y)^(12-6)

=12C6 x^6 (2y)^6

=12C6 x^6 2^6 y^6

12C6 = 12 x 11 x 10 x 9 x 8 x 7 / 6 x 5 x 4 x 3 x 2 x 1 = 924

2^6 = 64

=(924)(64) x^6 y^6

7th term is 59136 x^6 y^6