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Mathematics
Problem
- If
(
1
+
x
)
10
=
a
0
+
a
1
x
+
a
2
x
2
+
⋯
+
a
10
x
10
(1+x)^{10} = a_0 + a_1 x + a_2 x^2 + \dots + a_{10} x^{10}
(
1
+
x
)
10
=
a
0
+
a
1
x
+
a
2
x
2
+
⋯
+
a
10
x
10
, then
(
a
0
−
a
2
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a
4
−
a
6
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a
8
−
a
10
)
2
+
(
a
1
−
a
3
+
a
5
−
a
7
+
a
9
)
2
(a_0 - a_2 + a_4 - a_6 + a_8 - a_{10})^2 + (a_1 - a_3 + a_5 - a_7 + a_9)^2
(
a
0
−
a
2
+
a
4
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a
6
+
a
8
−
a
10
)
2
+
(
a
1
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a
3
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a
5
−
a
7
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a
9
)
2
is equal to a. 2^9 b. 3^9 c. 2^10 d. 3^10
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