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Byju's Answer
Standard VIII
Mathematics
Factorisation by Regrouping Terms
Simplify: 15...
Question
Simplify:
15
x
y
−
6
x
+
5
y
−
2
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Solution
Given expression is
15
x
y
−
6
x
+
5
y
−
2
.
Simplifying the given expression by combining the like terms or taking out common parts:
=
(
15
x
y
+
5
y
)
−
(
6
x
+
2
)
=
5
y
(
3
x
+
1
)
−
2
(
3
x
+
1
)
=
(
5
y
−
2
)
(
3
x
+
1
)
=
(
3
x
+
1
)
(
5
y
−
2
)
Hence,
15
x
y
−
6
x
+
5
y
−
2
=
(
3
x
+
1
)
(
5
y
−
2
)
.
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7
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