Byju's Answer
Standard VII
Mathematics
Exponents with Like Bases
Expand a3b2...
Question
Expand
a
3
b
2
,
a
2
b
3
,
b
2
a
3
,
b
3
a
2
.
Are they all same?
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Solution
Now,
a
3
b
2
=
a
×
a
×
a
×
b
×
b
.
a
2
b
3
=
a
×
a
×
b
×
b
×
b
.
b
2
a
3
=
b
×
b
×
a
×
a
×
a
.
b
3
a
2
=
b
×
b
×
b
×
a
×
a
.
It is clear that all they are not same.
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3
Similar questions
Q.
Expand the following formulas
(
a
+
b
)
2
=?
(
a
−
b
)
2
=?
(
a
2
+
b
2
)
=?
(
a
+
b
)
3
=?
(
a
−
b
)
3
=?
a
3
+
b
3
=?
a
3
−
b
3
=?
Q.
Which of the following equations are correct?
(
i
)
(
a
+
b
+
c
)
2
=
a
2
+
b
2
+
c
2
+
2
(
a
b
+
b
c
+
c
a
)
(
i
i
)
(
a
+
b
)
3
=
a
3
+
b
3
+
3
a
b
(
a
−
b
)
(
i
i
i
)
(
a
−
b
)
3
=
a
3
−
b
3
−
3
a
b
(
a
+
b
)
(
i
v
)
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
Q.
If
(
a
1
,
a
2
,
a
3
)
,
(
b
1
,
b
2
,
b
3
)
and
(
c
1
,
c
2
,
c
3
)
are linearly independent and
x
(
a
1
,
a
2
,
a
3
)
+
y
(
b
1
,
b
2
,
b
3
)
+
z
(
c
1
,
c
2
,
c
3
)
=
0
then
Q.
Simplify the following expressions.
a
2
−
b
2
a
−
b
−
a
3
−
b
3
a
2
−
b
2
Q.
If
2
y
−
x
=
8
;
5
y
−
x
=
14
,
y
−
2
x
=
1
intersect at
(
a
1
,
b
1
)
,
(
a
2
,
b
2
)
,
(
a
3
,
b
3
)
Find
(
a
1
+
a
2
+
a
3
+
b
1
+
b
2
+
b
3
)
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