Simplify: \( \Large \frac{1.75 \times 1.75 \times 1.75+1.25 \times 1.25 \times 1.25}{1.75 \times 1.75-1.75 \times 1.25+1.25 \times 1.25} \)
Correct Answer: Description for Correct answer:
\( \Large \frac{1.75 \times 1.75 \times 1.75+1.25 \times 1.25 \times 1.25}{1.75 \times 1.75-1.75 \times 1.25+1.25 \times 1.25} \)
Let a = 1.75 and b = 1.25
\( \Large \frac{a \times a \times a+b \times b \times b}{a \times a-a \times b+b \times b } \)
=\( \Large \frac{a^{3}+b^{3}}{a^{2}-ab+b^{2}} \)
=\( \Large \frac{ \left(a+b\right) \left(a^{2}-ab+b^{2}\right) }{a^{2}-ab+b^{2}} \)
= a + b = 1.75 + 1.25 = 3
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