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Mathematics
Problem
Let
F
(
x
)
=
x
4
−
2
x
2
+
3
F(x)=x^{4}-2x^{2}+3
F
(
x
)
=
x
4
−
2
x
2
+
3
and
G
(
x
)
=
x
4
−
2
x
2
−
5
G(x)=x^{4}-2x^{2}-5
G
(
x
)
=
x
4
−
2
x
2
−
5
. Both functions are antiderivatives of the same derivative on
R
\mathbb R
R
. Determine the value of
G
(
x
)
−
F
(
x
)
G(x)-F(x)
G
(
x
)
−
F
(
x
)
.
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