User Name Remember Me? Password

 Probability and Statistics Basic Probability and Statistics Math Forum

 March 14th, 2011, 06:13 AM #1 Senior Member   Joined: Dec 2010 Posts: 233 Thanks: 0 help binomial expansion 1.without using tables or calculator,evaluate ( ?7+?3)^6+(?7-?3)^6. 2.Obtain the binomial expansion of ( ?2+1)^5 in the form m?2 + n, where m and n are integers.State the corresponding result for the expansion of (?2-1)^5,and show that ( ?2-1)^5 is the reciprocal of ( ?2+1)^5. Please help me to solve these question.I need help.i am weak at math. March 14th, 2011, 09:22 AM #2 Senior Member   Joined: Mar 2011 From: Chicago, IL Posts: 214 Thanks: 77 Re: help binomial expansion 1. Use this formula: a^3+b^3=(a+b)(a^2-ab+b^2) , for your case: (( ?7+?3)^2)^3+((?7-?3)^2)^3 , the result is 7040. 2. Just use: (a+b)^5=a^5+5a^4*b+10a^3*b^2+10a^2*b^3+5a*b^4+b^5 , so: (?2+1)^5 is 29?2+41 and: (?2-1)^5 is 29?2-41 March 14th, 2011, 09:30 AM #3 Senior Member   Joined: Apr 2007 Posts: 2,140 Thanks: 0 Above problems only requires basic algebra, and above average mathematical talent. March 14th, 2011, 09:32 AM   #4
Global Moderator

Joined: Oct 2008
From: London, Ontario, Canada - The Forest City

Posts: 7,968
Thanks: 1152

Math Focus: Elementary mathematics and beyond
Re: help binomial expansion

Quote:
 Originally Posted by hoyy1kolko . . . show that ( ?2-1)^5 is the reciprocal of ( ?2+1)^5. March 14th, 2011, 09:41 AM #5 Global Moderator   Joined: Nov 2009 From: Northwest Arkansas Posts: 2,767 Thanks: 5 Re: help binomial expansion I hope I have what it takes...! Using the above suggestion, we have I'll try the squaring first... Then "a + b" is just 20. So... (20)(368 - 16) = 20*352 = 7040 March 16th, 2011, 09:30 PM #6 Senior Member   Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs Re: help binomial expansion 2.) If we define: , , Then it can be shown that: , , , , Thus: Tags binomial, expansion Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post rnck Probability and Statistics 7 August 24th, 2012 11:44 AM n3rdwannab3 Elementary Math 4 February 5th, 2012 08:01 PM hoyy1kolko Probability and Statistics 3 March 14th, 2011 08:04 PM hoyy1kolko Probability and Statistics 2 March 14th, 2011 07:54 PM hoyy1kolko Probability and Statistics 2 March 13th, 2011 08:07 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top      