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Byju's Answer
Standard VIII
Mathematics
Factorization of ax^2+bx+c
Using a suita...
Question
Using a suitable algebraic identity, find
41
×
43
.
1763
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Solution
The correct option is
A
1763
We know that,
41
×
43
can be written as
(
40
+
1
)
×
(
40
+
3
)
So, using the algebraic identity,
(
x
+
a
)
×
(
x
+
b
)
=
x
2
+
(
a
+
b
)
x
+
a
b
Here,
x
=
40
,
a
=
1
,
b
=
3
(
40
+
1
)
×
(
40
+
3
)
=
40
2
+
(
1
+
3
)
×
40
+
1
×
3
=
1600
+
160
+
3
=
1763
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