Home » Past Questions » Mathematics » If P = 18, Q = 21, R = -6 and S = -4, Calculate \(\frac{(P- Q)^3 + S^2}{R^3}\) +...

If P = 18, Q = 21, R = -6 and S = -4, Calculate \(\frac{(P- Q)^3 + S^2}{R^3}\) +...


Question

If P = 18, Q = 21, R = -6 and S = -4, Calculate \(\frac{(P- Q)^3 + S^2}{R^3}\) + S2

Options

A) \(\frac{-11}{216}\)

B) \(\frac{11}{216}\)

C) \(\frac{-43}{116}\)

D) \(\frac{43}{116}\)

The correct answer is B.

Explanation:

\(\frac{(P- Q)^3 + S^2}{R^3}\) = \(\frac{(18 - 21)^3 + (-4)^2}{(-6)^3}\)
= \(\frac{-27 + 16}{R^3}\)
= \(\frac{-11}{-216}\)
= \(\frac{11}{216}\)

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