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:
- A0.5
- B1
- C1.3
- D0.3
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
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