1.
Expand (
a
+ 2
b
)
4
.
A.
a
4
+ 4
a
3
b
+ 12
a
2
b
2
+ 8
ab
3
+
b
4
B.
a
4
+ 8
a
3
b
+ 24
a
2
b
2
+ 4
ab
3
+
b
4
C.
a
4
+ 8
a
3
b
+ 24
a
2
b
2
+ 32
ab
3
+ 16
b
4
D.
a
4
+ 8
a
3
b
+ 24
a
2
b
2
+ 8
ab
3
+
b
4
Hint
2.
Find the expansion of
.
A.
B.
C.
a
4
+ 8
a
3
+ 16
a
2
+ 8
a
+ 2
D.
16
a
+
a
3
+ 6
a
2
+ 16
a
+ 16
Hint
3.
Evaluate
A.
252
B.
1
C.
126
D.
504
Hint
4.
What is the sixth term in the expansion of (
t
+ 3
u
)
7
?
A.
5103
t
5
u
2
B.
63
t
2
u
5
C.
5103
t
2
u
5
D.
63
t
5
u
2
Hint
5.
Which of the following is not a pattern in the binomial expansion of (
a
+ b)
n
?
A.
In successive terms, the exponent of
a
increases by one, and the exponent of b decreases by one.
B.
There are
n
+ 1 terms.
C.
The coefficients are symmetric. They increase at the beginning of the expansion and decrease at the end.
D.
The sum of the exponents in each term is
n
Hint