Home » Aptitude » Algebra » Question
  1. 1
    .
    1
    .
    1
    +
    1
    .
    1
    .
    1
    - 3 .
    1
    .
    1
    .
    1
    +
    1
    .
    1
    .
    1
    333444345555
    1
    .
    1
    +
    1
    .
    1
    +
    1
    .
    1
    -
    1
    .
    1
    +
    1
    .
    1
    +
    1
    .
    1
    334455344553

    is equal to :
    1. 2
      3
    2. 3
      4
    3. 47
      60
    4. 49
      60
Correct Option: C

Let
1
= a,
1
= b, and
1
= c
345

∴ Expression
=
a³ + b³ + c³ - 3abc
a² + b² + c² - ab - ac - bc

=
(a + b + c) (a² + b² + c² - ab - ac - bc)
= a + b + c
a² + b² + c² - ab - ac - bc

1
+
1
+
1
=
20 + 15 + 12
=
47
3456060



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