Demondevilg
18.12.2021 •
Mathematics
PLEASE HELP ME WITH THIS
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Answers on questions: Mathematics
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Ответ:
Step-by-step explanation:
Use the binomial expansion theorem to find each term. The binomial theorem states
(
a
+
b
)
n
=
n
∑
k
=
0
n
C
k
⋅
(
a
n
−
k
b
k
)
.
4
∑
k
=
0
4
!
(
4
−
k
)
!
k
!
⋅
(
x
)
4
−
k
⋅
(
y
)
k
Expand the summation.
4
!
(
4
−
0
)
!
0
!
(
x
)
4
−
0
⋅
(
y
)
0
+
4
!
(
4
−
1
)
!
1
!
(
x
)
4
−
1
⋅
(
y
)
+
4
!
(
4
−
2
)
!
2
!
(
x
)
4
−
2
⋅
(
y
)
2
+
4
!
(
4
−
3
)
!
3
!
(
x
)
4
−
3
⋅
(
y
)
3
+
4
!
(
4
−
4
)
!
4
!
(
x
)
4
−
4
⋅
(
y
)
4
Simplify the exponents for each term of the expansion.
1
⋅
(
x
)
4
⋅
(
y
)
0
+
4
⋅
(
x
)
3
⋅
(
y
)
+
6
⋅
(
x
)
2
⋅
(
y
)
2
+
4
⋅
(
x
)
⋅
(
y
)
3
+
1
⋅
(
x
)
0
⋅
(
y
)
4
Simplify each term.
Tap for more steps...
x
4
+
4
x
3
y
+
6
x
2
y
2
+
4
x
y
3
+
y
4