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Standard VIII
Mathematics
Algebraic Identities
Question
Evaluate
(
49
)
2
using the identity
(
a
−
b
)
2
=
a
2
−
2
a
b
+
b
2
.
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Solution
Verified by Toppr
Using
(
a
−
b
)
2
=
a
2
−
2
a
b
+
b
2
to calculate the value of
(
49
)
2
We can write
(
49
)
2
as
(
50
−
1
)
2
(
50
−
1
)
2
=
50
2
−
2
×
50
×
1
+
1
2
=
2500
−
100
+
1
The answer is
2401
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Similar Questions
Q1
Evaluate
(
49
)
2
using the identity
(
a
−
b
)
2
=
a
2
−
2
a
b
+
b
2
.
View Solution
Q2
Evaluate using the identity
:
(i) (49)
2
; (ii) (9.8)
2
; (iii) (59)
2
; (iv) (198)
2
.