Find the value of
0.09
0.23
2
−0.04
2
.
- A0.52
- B0.01
- C3
- D0.57
Solution & Step-by-step Explanation
The numerator is in the form of a
2
−b
2
, which can be factored as (a−b)(a+b).
Here, a=0.23 and b=0.04.
0.09
0.23
2
−0.04
2
=
0.09
(0.23−0.04)(0.23+0.04)
=
0.09
(0.19)×(0.27)
=0.19×3=0.57
2
−b
2
, which can be factored as (a−b)(a+b).
Here, a=0.23 and b=0.04.
0.09
0.23
2
−0.04
2
=
0.09
(0.23−0.04)(0.23+0.04)
=
0.09
(0.19)×(0.27)
=0.19×3=0.57