If a = 11 and b = 9, what is the value of \(\frac{a^2 + ab + b^2}{a^3 - b^3}\)?
A. 2
B. 20
C. \(\frac{1}{20}\)
D. \(\frac{1}{2}\)
A. 2
B. 20
C. \(\frac{1}{20}\)
D. \(\frac{1}{2}\)
Best answer
Answer: D. \(\frac{1}{2}\)
Answer: (D) \(\frac{1}{2}\)
\(a^3 - b^3 = (a - b)(a^2 + ab + b^2)\), so the expression = \(\frac{1}{a - b} = \frac{1}{2}\).
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