SOLUTION: Expand the following binomial
(2x-3y)^6
Algebra.Com
Question 753595: Expand the following binomial
(2x-3y)^6
Found 2 solutions by lenny460, solver91311:
Answer by lenny460(1073) (Show Source): You can put this solution on YOUR website!
Expand the following binomial
(2x-3y)^6
Answer:
64x^6 - 576x^5y + 2160x^4y^2 - 4320x^3y^3 + 4860x^2y^4 - 2916xy^5 + 729y^6
Lennox Obuong
Algebra Tutor
Nairobi, Kenya
Email: obuong3@aol.com
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The pattern for binomial expansion is:
^n\ =\ \sum_{i=0}^n\,{{n}\choose{i}}\,\alpha^{n-i}\beta^i)
For your problem: 
, 
, and 
. So the first term, that is when 
, is:
^{6-0}(-3y)^0\ =\ (1)(64x^6)(1)\ =\ 64x^6)
Then the second term is
^{6-1}(-3y)^1\ =\ (6)(32x^5)(-3y)\ =\ -576x^5y)
Then the third term is
^{6-2}(-3y)^2\ =\ (15)(16x^4)(-3y)^2\ =\ 2160x^4y^2)
And so on...
You should be able to calculate the remaining 4 terms for yourself.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
Use binomial expansion to expand the following... (answered by palanisamy,checkley77)
Use binomial expansion to expand the following (2x-3y)^4 (answered by stanbon,Edwin McCravy)
Expand the binomial using the
binomial theorem: ( 2x3 - 3y )4
(answered by consc198)
Use Pascal triangle & the binomial Theorem to expand: (2x-3y)^4 (answered by Alan3354)
expand the... (answered by scott8148)
Using the binomial theorem, expand the binomial (2x +... (answered by MathLover1)
Expand the following using either the Binomial Theorem or Pascal’s Triangle.
(2x +... (answered by Alan3354)
need help!
Use the BINOMIAL THEOREM to expand the binomial (2x+y)^6 and express the... (answered by venugopalramana)
Expand binomial. (7-2x)^6
I know I can either use the Pascal's Triangle or the binomial... (answered by edjones)
