The simplification of \( \Large \frac{0.06 \times 0.06 \times 0.06-0.05 \times 0.05 \times 0.05}{0.06 \times 0.06+0.06 \times 0.05+0.05 \times 0.05} \)
Correct Answer: Description for Correct answer:
\( \Large \frac{0.06 \times 0.06 \times 0.06-0.05 \times 0.05 \times 0.05}{0.06 \times 0.06+0.06 \times 0.05+0.05 \times 0.05} \)
=\( \Large \frac{0.06^{3}-0.05^{3}}{0.06^{2} \times 0.05+0.05^{2}} \)
=\( \Large \frac{a^{3}-b^{3}}{a^{2}+ab+b^{2}} \)
=\( \Large \frac{ \left(a-b\right) \left(a^{2}+ab+b^{2}\right) }{a^{2}+ab+b^{2}} \)
=a-b
So,a=0.06, b=0.05
=0.06-0.05 =0.01
Part of solved Indices and Surd questions and answers :
>> Elementary Mathematics >> Indices and Surd