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Byju's Answer
Standard IX
Mathematics
Linear Equation in 2 Variables
Factorize the...
Question
Factorize the following using appropriate identities:
(i)
9
x
2
+
6
x
y
+
y
2
(ii)
4
y
2
−
4
y
+
1
(iii)
x
2
−
y
2
100
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Solution
(
i
)
9
x
2
+
6
x
y
+
y
2
=
(
3
x
)
2
+
2
×
3
x
×
y
+
(
y
)
2
using
a
2
+
2
a
b
+
b
2
=
(
a
+
b
)
2
=
(
3
x
+
y
)
2
(
i
i
)
4
y
2
−
4
y
+
1
=
(
2
y
)
2
−
2
×
2
y
×
1
+
1
2
using
a
2
=
2
a
b
+
b
2
=
(
a
+
b
)
2
=
(
2
y
−
1
)
2
(
i
i
i
)
x
2
−
y
2
100
=
x
2
−
y
2
10
2
is of the form
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
=
(
x
+
y
10
)
(
x
−
y
10
)
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Similar questions
Q.
Question 3
Factorise the following using appropriate identities:
(i)
9
x
2
+
6
x
y
+
y
2
(ii)
4
y
2
−
4
y
+
1
(iii)
x
2
−
y
2
100
Q.
Question 3
Factorise the following using appropriate identities:
(i)
9
x
2
+
6
x
y
+
y
2
(ii)
4
y
2
−
4
y
+
1
(iii)
x
2
−
y
2
100
Q.
Factorize the following using appropriate identities: 9
x
2
+ 6xy +
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Q.
Factorize the following expression
9
x
2
+
y
2
+
1
−
6
x
y
+
6
x
−
2
y
Q.
Factorise the following trinomials:
x
2
4
y
2
−
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x
2
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