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Standard IX
Mathematics
Algebraic Identities
Question
Solve:
(
2
x
+
3
)
3
−
(
2
x
−
3
)
3
Open in App
Solution
Verified by Toppr
By using formula;-
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
we have,
=
(
2
x
−
3
−
(
2
x
−
3
)
)
(
(
2
x
+
3
)
2
+
(
2
x
+
3
)
(
2
x
−
3
)
+
(
2
x
−
3
)
2
)
=
(
2
x
−
3
−
2
x
+
3
)
(
4
x
+
9
+
12
x
+
4
x
2
−
6
x
+
6
x
−
9
+
4
x
+
9
−
12
x
)
=
4
x
2
+
8
x
+
9
on simplifying we get,
(
4
x
2
+
8
x
+
9
)
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