SOLUTION: (A-B)^40 So I do not know if this would follow the binomial expansion theorem? but I have a feeling it does, however the expanding part is what I am having trouble with. I a

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Question 866103: (A-B)^40
So I do not know if this would follow the binomial expansion theorem? but I have a feeling it does, however the expanding part is what I am having trouble with.
I am trying to expand it to where I know what the 38th term is.
All help is appreciated, Thank you!

Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
A^40-40 A^39 B+780 A^38 B^2-9880 A^37 B^3+91390 A^36 B^4-658008 A^35 B^5+3838380 A^34 B^6-18643560 A^33 B^7+76904685 A^32 B^8-273438880 A^31 B^9+847660528 A^30 B^10-2311801440 A^29 B^11+5586853480 A^28 B^12-12033222880 A^27 B^13+23206929840 A^26 B^14-40225345056 A^25 B^15+62852101650 A^24 B^16-88732378800 A^23 B^17+113380261800 A^22 B^18-131282408400 A^21 B^19+137846528820 A^20 B^20-131282408400 A^19 B^21+113380261800 A^18 B^22-88732378800 A^17 B^23+62852101650 A^16 B^24-40225345056 A^15 B^25+23206929840 A^14 B^26-12033222880 A^13 B^27+5586853480 A^12 B^28-2311801440 A^11 B^29+847660528 A^10 B^30-273438880 A^9 B^31+76904685 A^8 B^32-18643560 A^7 B^33+3838380 A^6 B^34-658008 A^5 B^35+91390 A^4 B^36-9880 A^3 B^37+780 A^2 B^38-40 A B^39+B^40
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