L {cos 6t cos 4t sin t}
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(sin
2
t+cos
2
t)
3
−3sin
2
tcos
2
t(sin
2
t+cos
2
t)−1
(sin
2
t+cos
2
t)
2
−2sin
2
tcos
2
t−1
since (a+b)
2
=a
2
+2ab+b
2
and (a+b)
3
=a
3
+3a
2
b+3ab(a+b)
=
−3sin
2
tcos
2
t
−2sin
2
tcos
2
t
=
3
2
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