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Byju's Answer
Standard VIII
Mathematics
Factorisation by Regrouping Terms
Factorize a...
Question
Factorize
a
4
−
2
a
3
−
4
a
+
8
by the grouping method
A
(
a
−
2
)
(
a
3
−
5
)
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B
(
a
−
4
)
(
a
3
−
4
)
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C
(
a
−
2
)
(
a
3
−
4
)
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D
(
a
−
2
)
(
a
3
−
7
)
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Solution
The correct option is
D
(
a
−
2
)
(
a
3
−
4
)
Given expression is
a
4
−
2
a
3
−
4
a
+
8
Taking
a
3
common from the first two terms and
4
from the last two, we get:
a
3
(
a
−
2
)
−
4
(
a
−
2
)
=
(
a
−
2
)
(
a
3
−
4
)
Hence,
a
4
−
2
a
3
−
4
a
+
8
=
(
a
−
2
)
(
a
3
−
4
)
.
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