SOLUTION: Hmmmm, what could this be??? Find the eight term in the expansion (a + b)14. Thank you for your help!

Question 632021: Hmmmm, what could this be???
Find the eight term in the expansion (a + b)14.

Thank you for your help!
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!

Find the eight term in the expansion (a + b)14.
eighth term:
14C7 a^(14-7)b^7
14C7 a^7b^7
14!/7!(14-7)! a^7b^7
(8*9*10*11*12*13*14)/7! a^7b^7
(8*9*10*11*12*13*14)/(7*6*5*4*3*2*1) a^7b^7
(8*9*10*11*12*13*2)/(6*5*4*3*2*1) a^7b^7
(8*9*10*11*2*13*2)/(5*4*3*2*1) a^7b^7
(8*9*2*11*2*13*2)/(4*3*2*1) a^7b^7
(2*9*2*11*2*13*2)/(3*2*1) a^7b^7
(2*9*2*11*2*13*2)/6 a^7b^7
(2*9*2*11*2*13)/3 a^7b^7
3432 a^7b^7

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