My Math Forum Algebraic Square, Cube Formulas / Equations.

 Algebra Pre-Algebra and Basic Algebra Math Forum

 September 9th, 2011, 08:01 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, 08:04 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, 12:50 AM #3 Global Moderator   Joined: Dec 2006 Posts: 20,464 Thanks: 2038 I corrected the title for you. The binomial theorem provides such a formula for an arbitrarily large integer value of n.
September 10th, 2011, 02:56 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, 03:47 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, 12:10 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 Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post Chemist@ Calculus 8 September 17th, 2013 07:22 AM bucho6 Algebra 1 October 26th, 2011 05:41 AM proglote Algebra 16 June 11th, 2011 03:50 PM johnny Algebra 2 August 21st, 2007 07:02 AM johnny Algebra 6 July 23rd, 2007 08:41 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top