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Byju's Answer
Standard VII
Mathematics
(a-b)^2 Expansion and Visualisation
6 a 2 b 2 bc ...
Question
6
a
2
b
2
b
c
can also be written in its simplest factor form as
A
3
×
2
×
a
2
×
b
2
×
b
×
c
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B
3
×
2
×
a
×
b
×
c
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C
6
a
2
b
3
c
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D
3
×
2
×
a
×
a
×
b
×
b
×
b
×
c
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Solution
The correct option is
D
3
×
2
×
a
×
a
×
b
×
b
×
b
×
c
6
a
2
b
2
b
c
=
3
×
2
×
a
×
a
×
b
×
b
×
b
×
c
The above expression cannot be simplified any further.
∴
The simplest (irreducible)factor form of
6
a
2
b
2
b
c
is
3
×
2
×
a
×
a
×
b
×
b
×
b
×
c
So, option D is correct.
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Similar questions
Q.
The expression (a − b)
3
+ (b − c)
3
+ (c −a)
3
can be factorized as
(a) (a − b) (b − c) (c −a)
(b) 3(a − b) (b − c) (c −a)
(c) −3(a − b) (b −c) (c − a)
(d) (a + b + c) (a
2
+ b
2
+ c
2
− ab − bc − ca)