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Question

Simplify:
0.2 x 0.2 + 0.02 x 0.02 - 0.4 x 0.02 0.36

Options:
A .  0.009
B .  0.09
C .  0.9
D .  9
E .  None of these
Answer: Option B

 -     0.2 x 0.2 + 0.02 x 0.02 - 0.4 x 0.02 = 0.2 x 0.2 + 0.02 x 0.02 - 2 x 0.2 x 0.02     = (a2 + b2 - 2ab) = (a - b)2 = (0.2 - 0.02)2       = (0.18)2          Given expression = (0.18 x 0.18) 0.36  = 0.09

0.2 x 0.2 + 0.02 x 0.02 - 0.4 x 0.02 0.36
0.2 x 0.2 = 0.04
0.02 x 0.02 = 0.0004
0.4 x 0.02 = 0.008
Now, 0.04 + 0.0004 - 0.008 = 0.0396
0.0396 = 0.09
Therefore, the answer is 0.09
Hence, Option B . 0.09 is the correct answer.

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