 My Math Forum Algebraic Square, Cube Formulas / Equations.

 Algebra Pre-Algebra and Basic Algebra Math Forum

 September 9th, 2011, 09:01 PM #1 Banned Camp   Joined: Aug 2011 Posts: 534 Thanks: 2 Algebraic Square, Cube Formulas / Equations. We have the following formulas 1. (a + b)^2 = a^2 + 2ab + b^2 2. (a ? b)^2 = a^2 ? 2ab + b^2 3. (a + b)^3 = a^3 + b^3 + 3ab(a + b); 4. (a ? b)^3 = a^3 ? b^3 ? 3ab(a ? b); Question : Up to what maximum value of n we can compute/deduce the formula? i.e (a+b)^ n = ? where n= 1,2,3,4 ....... (a-b)^ n = ? where n= 1,2,3,4 ....... Examples : can we compute/deduce the formula for (a+b) ^ 10 = ? (a-b) ^ 20 = ? Thanks & Regards, Prashant S Akerkar September 9th, 2011, 09:04 PM #2 Banned Camp   Joined: Aug 2011 Posts: 534 Thanks: 2 Re: Algebraic Square, Cube Formulas / Equations. The Topic name is : Algebraic Square, Cube Formulas / Equations. and not Algerabic Square, Cube Formulas / Equations. Thanks & Regards, Prashant S Akerkar September 10th, 2011, 01:50 AM #3 Global Moderator   Joined: Dec 2006 Posts: 21,128 Thanks: 2337 I corrected the title for you. The binomial theorem provides such a formula for an arbitrarily large integer value of n. September 10th, 2011, 03:56 AM   #4
Banned Camp

Joined: Aug 2011

Posts: 534
Thanks: 2

Re: Algebraic Square, Cube Formulas / Equations.

Thank you.

http://en.wikipedia.org/wiki/Binomial

As you mention, "Binomial Theorem" should be the correct title.

The Pascal's Triangle Figure is depicted for n = 7 i.e (a + b) ^ n.

Questions
-----------

1. So can we reach to a conclusion that through Binomial Theorem we can compute any formula for larger values of n ?

i.e we can also write the formula for (a + b) ^ 100 where n=100 and draw the Pascal's Triangle.

2. The Binomial Theorem is written with n as integer value, what will be the formula for n exponent as a decimal/float value ?
i,e n= 2.1, n=3.2, n=4.6 etc

i.e.

is the following expression valid for a binomial ?

(a + b) ^ 2.1 = ?

(a + b) ^ 3.2 = ?

if Yes, what will be the formula, if No why ?

Thanks & Regards,
Prashant S Akerkar
Attached Images Pascal\'s Triangle.png (5.5 KB, 459 views) September 10th, 2011, 04:47 AM #5 Math Team   Joined: Sep 2007 Posts: 2,409 Thanks: 6 Re: Algebraic Square, Cube Formulas / Equations. If you look further down that same Wikipedia link that skipjack gave you, you will find the "generalized binomial theorem": http://en.wikipedia.org/wiki/Binomial_t ... al_theorem November 15th, 2011, 01:10 AM   #6
Banned Camp

Joined: Aug 2011

Posts: 534
Thanks: 2

Re: Algebraic Square, Cube Formulas / Equations.

Thank you.

Attaching Image ....

Thanks & Regards,
Prashant S Akerkar
Attached Images Binomial Theorem.jpg (7.9 KB, 401 views) Tags algebraic, cube, equations, formulas, square ,
,

,

,

,

,

,

,

,

,

,

,

,

,

# cube square formula

Click on a term to search for related topics.
 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 Chemist@ Calculus 8 September 17th, 2013 08:22 AM bucho6 Algebra 1 October 26th, 2011 06:41 AM proglote Algebra 16 June 11th, 2011 04:50 PM johnny Algebra 2 August 21st, 2007 08:02 AM johnny Algebra 6 July 23rd, 2007 09:41 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top      