3. Find the L.C.M of X2 + X, X2 – 1, X2 – X. (3 marks)
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Answered by
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Step-by-step explanation:
The LCM is
(
x
−
1
)
(
x
+
2
)
(
x
+
3
)
Explanation:
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
)
(
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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