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Byju's Answer
Standard VIII
Mathematics
x^3 + y^3 + z^3 - 3xyz
Find the cube...
Question
Find the cube of the following binomial expression:
(iii)
2
x
+
3
x
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Solution
Given,
2
x
+
3
x
Using Identity,
(
a
+
b
)
3
=
a
3
+
b
3
+
3
a
b
(
a
+
b
)
∴
(
2
x
+
3
x
)
3
=
(
2
x
)
3
+
(
3
x
)
3
+
3
(
2
x
×
3
x
)
(
2
x
+
3
x
)
=
8
x
3
+
27
x
3
+
18
(
2
x
+
3
x
)
=
8
x
3
+
27
x
3
+
18
×
2
x
+
18
×
3
x
=
8
x
3
+
27
x
3
+
36
x
+
54
x
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Similar questions
Q.
Find the cube of each of the following binomials expressions:
(i)
1
x
+
y
3
(ii)
3
x
-
2
x
2
(iii)
2
x
+
3
x
(iv)
4
-
1
3
x