\( \Large \frac{ \left(0.96\right)^{3} - \left(0.1\right)^{3} }{ \left(0.96\right)^{2} + 0.096 + 0.01 }\)
\(\Large \left(0.96\right)^{3} - \left(0.1\right)^{3} \) \( \Large = \left(0.96 - 0.1\right) \left[ \left(0.96\right)^{2} + 0.96 \times 0.1 + \left(0.1\right)^{2} \right] \) \( \Large \left[ Because, a^{3}-b^{3}= (a-b)\left(a^{2}+ab+b^{2}\right) \right] \) \( \Large \frac{ \left(0.96 - 0.1\right) \left[ \left(0.96\right)^{2} + 0.096 + 0.01\right] }{ \left(0.96\right)^{2} + 0.096 + 0.01 } \)
\( \Large 0.96 - 0.1 = 0.86 \)
