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Byju's Answer
Standard VIII
Mathematics
Factorisation
Match the fol...
Question
Match the following algebraic expressions with their factorised form.
A
x
(
3
x
+
5
)
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B
(
2
x
+
6
)
2
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C
(
x
−
4
)
(
x
+
4
)
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D
5
x
(
2
x
3
+
6
x
2
+
1
)
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Solution
3
x
2
+
5
x
=
3
×
x
×
x
+
5
×
x
=
x
(
3
x
+
5
)
In
10
x
4
+
30
x
3
+
5
x
,
5
x
is the common factor which can be taken as common. We get
5
x
(
2
x
3
+
6
x
2
+
1
)
.
x
2
−
16
=
x
2
−
4
2
=
(
x
−
4
)
(
x
+
4
)
Using identity
a
2
−
b
2
=
(
a
−
b
)
(
a
+
b
)
Using identity
(
a
+
b
)
2
=
a
2
+
2
a
b
+
b
2
,
4
x
2
+
24
x
+
36
=
(
2
x
)
2
+
2
×
2
x
×
6
+
6
2
=
(
2
x
+
6
)
2
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