if a = -3, b = 2, c = 4, evaluate \(\frac{a^3 - b^3 - c^{\frac{1}{2}}}{b - a - c}\)
A
37
B
\(\frac{-37}{5}\)
C
\(\frac{37}{5}\)
D
-37
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
\(\frac{a^{3} - b^{3} - c^{\frac{1}{2}}}{b - a - c} = \frac{(-3)^{3} - (2)^{3} - 4^{\frac{1}{2}}}{2 - (-3) - 4}\)
= \(\frac{-37}{1} = -37\)
Source: Myschool Past Questions Archive (Record #31630)