Factorize the following: 8x3+27y3
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Answer: 8
x
3
−
27
y
3
=
(
2
x
−
3
y
)
(
4
x
2
+
6
x
y
+
9
y
2
)
Explanation:
Use the identity
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
a
=
2
x
b
=
3
y
8
x
3
−
27
y
3
=
(
2
x
−
3
y
)
(
4
x
2
+
6
x
y
+
9
y
2
)l
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