sin^4x+cos^4x+3sin^2x-cos^2x=?
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Use the identities:
a
2
−
b
2
=
(
a
−
b
)
(
a
+
b
)
)
cos
2
x
+
sin
2
x
=
1
sin
4
x
−
cos
4
x
=
(
sin
2
x
−
cos
2
x
)
(
sin
2
x
+
cos
2
x
)
=
sin
2
x
−
cos
2
x
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