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Question

The value of \(\frac{(0.96)^{3}-(0.1)^{3}}{(0.96)^{2}+0.096+(0.1)^{2}} . is:
\)

Options:
A .  0.86
B .  0.95
C .  0.97
D .  1.06
Answer: Option A

Given expression =  \(\frac{(0.96)^{3}-(0.1)^{3}}{(0.96)^{2}+(0.96\times0.1)+(0.1)^{2}}\)


= \(= \left(\frac{a^{3}-b^{3}}{a^{2}+ab+b^{2}}\right)\)


= (a - b)


= (0.96 - 0.1)


= 0.86


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