Connection to Pascal's Triangle
(x+y)
0
=
1
(x+y)
1
=
1
x+
1
y
(x+y)
2
=
1
x
2
+
2
xy+
1
y
2
(x+y)
3
=
1
x
3
+
3
x
2
y+
3
xy
2
+
1
y
3
(x+y)
4
=
1
x
4
+
4
x
3
y+
6
x
2
y
2
+
4
xy
3
+
1
y
4
(x+y)
5
=
1
x
5
+
5
x
4
y+
10
x
3
y
2
+
10
x
2
y
3
+
5
xy
4
+
1
y
5
Do you see the connection??