Kuta Software - Infinite Precalculus
Name___________________________________
The Binomial Theorem
Date________________ Period____
Find each coefficient described.
1) Coefficient of x  in expansion of (x)
3) Coefficient of x in expansion of ( x)

2) Coefficient of x  in expansion of ( x)

4) Coefficient of b in expansion of (b)
5) Coefficient of x  y  in expansion of ( x y)
7) Coefficient of a  b  in expansion of (ab)




6) Coefficient of a  in expansion of (a)

8) Coefficient of m  n  in expansion of (mn)

Find each term described.
9) nd term in expansion of ( yx)

11) nd term in expansion of (u)
13) st term in expansion of (ab)

10) th term in expansion of (yx)

12) rd term in expansion of ( y)


14) nd term in expansion of ( yx)

Expand completely.
15) (n)

17) (m)
19) (v)


16) ( xy)

18) ( x y)
20) ( xy)


21) ( x  y)

22) (x  )

23) ( yx  )

24) ( y  x)

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Worksheet by Kuta Software LLC
Kuta Software - Infinite Precalculus
Name___________________________________
The Binomial Theorem
Date________________ Period____
Find each coefficient described.
1) Coefficient of x  in expansion of (x)

2) Coefficient of x  in expansion of ( x)



3) Coefficient of x in expansion of ( x)

4) Coefficient of b in expansion of (b)



5) Coefficient of x  y  in expansion of ( x y)


6) Coefficient of a  in expansion of (a)


7) Coefficient of a  b  in expansion of (ab)


8) Coefficient of m  n  in expansion of (mn)


Find each term described.
9) nd term in expansion of ( yx)

10) th term in expansion of (yx)
y  x

yx 
11) nd term in expansion of (u)

u 
12) rd term in expansion of ( y)

y
13) st term in expansion of (ab)

a
14) nd term in expansion of ( yx)

y  x
Expand completely.
15) (n)

n  n  n  n  n
17) (m)

m  m  m  m
19) (v)


x  x  yx  y  x  y  x  y  y 
23) ( yx  )

y   y  x   yx  x 

x  x  yx  y  xy  y 
18) ( x y)

x  x  yx  y  x  y  xy   y 
20) ( xy)
v  v  v
21) ( x  y)
16) ( xy)

x  x  yxy  y 
22) (x  )

x  x  x  x  x  
24) ( y  x)

y   y  x y  x  x 
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Worksheet by Kuta Software LLC