19
Find the LC.M of (x - 1) (x - 2).
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Remember that you can find the LCM between two expressions by multiplying them, and then dividing it with their GCF.
(
x
−
1
)
(
x
+
2
)
(
x
−
1
)
(
x
+
3
)
is the product
Now, it is important to see that
(
x
−
1
)
(
x
+
2
)
and
(
x
−
1
)
(
x
+
3
)
share
(
x
−
1
)
as their greatest common factor.
Therefore, we divide
(
x
−
1
)
(
x
+
2
)
(
x
−
1
)
(
x
+
3
)
by
(
x
−
1
)
.
(
x
−
1
)
(
x
+
2
)
(
x
−
1
)
(
x
+
3
)
(
x
−
1
)
=
(
x
−
1
)
(
x
+
2
)
(
x
+
3
)
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