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The value of
0.325×0.325−0.175×0.175
0.325×0.325+0.175×0.175−2×0.325×0.175

is:

  1. A
    0.5
  2. B
    1
  3. C
    1.3
  4. D
    0.3

Solution & Step-by-step Explanation

Let a=0.325 and b=0.175.
The expression given in the problem can be humanized and structurally simplified based on algebraic identities. Looking at the numerator:

Numerator=a
2
+b
2
−2ab=(a−b)
2

Looking at the denominator:

Denominator=a
2
−b
2
=(a−b)(a+b)
Now, substituting these back into the fraction:

Expression=
(a−b)(a+b)
(a−b)
2


=
a+b
a−b


Substitute the values of a and b:

a−b=0.325−0.175=0.150
a+b=0.325+0.175=0.500
Value=
0.500
0.150

=
50
15

=
10
3

=0.3

Practice this question

Try it yourself before checking the explanation above.

The value of
0.325×0.325−0.175×0.175
0.325×0.325+0.175×0.175−2×0.325×0.175

is:
A
0.5
B
1
C
1.3
D
0.3

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