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Byju's Answer
Standard X
Mathematics
Quadratic Equation as Product of 2 First Degree Equations
Question 3Fac...
Question
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
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Solution
(i)
9
x
2
+
6
x
y
+
y
2
=
(
3
x
)
2
+
2
(
3
x
)
y
+
(
y
)
2
=
(
3
x
+
y
)
2
[
U
s
i
n
g
a
2
+
2
a
b
+
b
2
=
(
a
+
b
)
2
]
=
(
3
x
+
y
)
(
3
x
+
y
)
(ii)
4
y
2
−
4
y
+
1
=
(
2
y
2
)
−
2
(
2
y
)
(
1
)
+
(
1
)
2
=
(
2
y
−
1
)
2
=
(
2
y
−
1
)
(
2
y
−
1
)
[
U
s
i
n
g
a
2
−
2
a
b
+
b
2
=
(
a
−
b
)
2
]
(iii)
x
2
−
y
2
100
=
x
2
−
(
y
10
)
2
=
(
x
+
y
10
)
(
x
−
y
10
)
[
U
s
i
n
g
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
]
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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.
Factorise the following using appropriate identities:
(i) 9
x
2
+ 6
xy
+
y
2
(ii)
(iii)