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Byju's Answer
Standard VIII
Mathematics
Factorisation Using Algebraic Identities
Check if 11...
Question
Check if
119
2
−
111
2
is a prime number or composite number.
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Solution
119
2
−
111
2
⇒
using
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
⇒
119
2
−
111
2
=
(
119
+
111
)
(
119
−
111
)
=
230
(
8
)
.
Since, the number has more than two factor other than
1
and the number itself, it is composite number.
Hence, the answer is
230
(
8
)
.
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Similar questions
Q.
119
2
- 111
2
is:
Q.
If
p
is prime, then
√
p
is irrational and if
a
,
b
are two odd prime numbers, then
a
2
−
b
2
is composite. As per the above passage mark the correct answer to the following question.
119
2
−
111
2
is:
Q.
119
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−
111
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is :
Q.
(i) Rakesh has jersey number 31 and Ramesh got 93 on his jersey. Check whether 31 and 93 are co-primes or not. What will be their HCF if they are co-primes?
(ii) Sachin got 17 marbles and Sourav got 84. Check whether the above numbers given are composite numbers or not?
Q.
Is 93 a prime or composite number?
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