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Question

The value of (0.96)3(0.1)3(0.90)2+(0.096)+0.01 is
  1. 0.95
  2. 0.97
  3. 0.86
  4. 1.06

A
1.06
B
0.86
C
0.97
D
0.95
Solution
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(0.96)3(0.1)3(0.96)2+(0.096)+0.01

(0.960.1)[(0.96)2+(0.96×0.1)+(0.1)2][(0.96)2+(0.096)+(0.01)][a3b3=(ab)(a2+ab+b2)]

0.86[(0.96)2+(0.096)+(0.01)][(0.96)2+(0.096)+(0.01)]

0.86

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