simplify [a^3 b^2/a^3 b^3]-3
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Answer:
a³−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
where
a
=
a
and
b
=
b
.
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
a
2
−
b
2
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
a
and
b
=
b
.
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
(
a
+
b
)
(
a
−
b
)
Cancel the common
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