SOLUTION: I need help on, find the coefficient of x^15 in the expansion of
(1-x^2+x^3)^20
Algebra.Com
Question 1146065: I need help on, find the coefficient of x^15 in the expansion of
(1-x^2+x^3)^20
Answer by greenestamps(13198) (Show Source): You can put this solution on YOUR website!
You will get x^15 terms with the following combinations of terms:
(1)
(2)
(3)
The numbers of ways to get each of these combinations are
(1)
(2)
(3)
The signs of (1) and (3) are positive; the sign of (2) is negative. So the coefficient of x^15 in (1-x^2+x^3)^20 is
You can confirm this answer by entering your expression in the box at wolframalpha.com.
RELATED QUESTIONS
find the coefficient of x^2 in the expansion of {x -... (answered by greenestamps)
How do i find the coefficient of x^2 in the expansion of (x+(1/x))^20... (answered by MathLover1)
Find the coefficient of x^27 in the expansion of (x^2+3x)^15 (answered by Edwin McCravy)
Find the coefficient of x^22 in the expansion of... (answered by KMST)
find the coefficient of x^4 in the expansion of (x+1/x)^(5) x... (answered by Edwin McCravy)
The coefficient of x^2 is 69 in the expansion of (1-ax)^24, where a > 0. Find the... (answered by greenestamps)
In the expansion of (2+x)^14 multiplied by (1+2/x)^14, find the coefficient of... (answered by stanbon,ikleyn)
Use the Binomial Theorem to find the coefficient of x^0 in the expansion of... (answered by greenestamps)
What is the coefficient of x^-5 in the expansion of (x^3 -... (answered by robertb)