Calculus: Factorials and Solving Formulas
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The seventh term of (a - b)^30
(Hint: 7 = r + 1; r = 6 and n = 30)
Possible answers:
(1) [n(n-1)(n-2)(n-3)(n-4)(n-5)(n-6)(n-7)]/6! [(a^n-6)(-b)^6]
(2) [(30)(29)(28)(27)(26)(25)]/6! (a^24 b^6)
(3) (30! - 15!)/6! [a^n-6 (-b)^6]
(4) 585,762 a^24 b^6
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Solution Summary
This solution explains how to expand and give the seventh term of (a - b)^30.
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