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If P = [\(\frac{Q(R - T)}{15}\)] \(\frac{1}{3}\) make T the subject of the relation

If P = [\(\frac{Q(R - T)}{15}\)] \(\frac{1}{3}\) make T the subject of the relation
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  • A T = \(\frac{R + P^3}{15Q}\)
  • B T = \(\frac{R - 15P^3}{Q}\)
  • C T = \(\frac{R - 15P^3}{Q}\)
  • D T = \(\frac{15R - Q}{P^3}\)
Correct Answer: Option C
Explanation:
Taking the cube of both sides of the equation give
P\(^3\) = \(\frac{Q(R - T)}{15}\)
Cross multiplying
15P\(^3\) = Q(R - T)
Divide both sides by Q
\(\frac{15P^3}{Q}\) = R - T
Rearranging gives
T = R - \(\frac{15P^3}{ Q}\)
= \(\frac{RQ - 15P^3}{Q}\)

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