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  1. If   a = 0.25, b = – 0.05, c = 0.5, then the value of  
    a2 − b2 − c2 − 2bc
      is
    a2 + b2 − 2ab − c2
    1. 7
      8
    2. 14
      17
    3. 1
    4. 25
      16
Correct Option: A

a2 − b2 − c2 − 2bc
a2 + b2 − 2ab − c2

=
a2 − (b2 + c2 + 2bc)
(a2 + b2 − 2ab) − c2

=
a2 − (b + c)2
(a − b)2 − c2

=
(a + b + c)(a − b − c)
(a − b + c)(a − b − c)

=
a + b + c
=
0.25 − 0.05 + 0.5
a − b + c0.25 + 0.05 + 0.5

=
0.7
=
7
0.88



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