Common binomial expansions

You can find these using Pascal’s triangle, or by using binomial combinations.

(a+b)^0=1
(a+b)^1=a+b
(a+b)^2=a^2+2ab+b^2
(a+b)^3=a^3+3a^2b+3ab^2+b^3
(a+b)^4=a^4+4a^3b+6a^2b^2+4ab^3+b
(a+b)^5=a^5+5a^4b+10a^3b^2+10a^2b^3+5ab^4+b^5
(a+b)^6=a^6+6a^5b+15a^4b^2+20a^3b^3+15a^2b^4+6ab^5+b^6
…

flashcards

Question	Answer
(a+b)^0	1
(a+b)^1	a+b
(a+b)^2	a^2+2ab+b^2
(a+b)^3	a^3+3a^2b+3ab^2+b^3
(a+b)^4	a^4+4a^3b+6a^2b^2+4ab^3+b^4
(a+b)^5	a^5+5a^4b+10a^3b^2+10a^2b^3+5ab^4+b^5
(a+b)^6	a^6+6a^5b+15a^4b^2+20a^3b^3+15a^2b^4+6ab^5+b^6
What are two methods for finding binomial expansions?	Using Pascal’s triangle or using binomial combinations.

Inlinks

pageindex pascal triangle binomial expansion

Outlinks

flashcards pascal triangle binomial combination