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Byju's Answer
Standard IX
Mathematics
Introduction to Algebraic Identities
Find 21 × 23,...
Question
Find
21
×
23
, using a suitable algebraic identity.
483
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Solution
The correct option is
A
483
We know that,
21
×
23
can be written as
(
20
+
1
)
×
(
20
+
3
)
So, using the algebraic identity,
(
x
+
a
)
×
(
x
+
b
)
=
x
2
+
(
a
+
b
)
x
+
a
b
Here,
x
=
20
,
a
=
1
,
b
=
3
(
20
+
1
)
×
(
20
+
3
)
=
20
2
+
(
1
+
3
)
×
20
+
1
×
3
=
400
+
80
+
3
=
483
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