Correct Answer: Option A

Explanation

To make \( p \) the subject of the formula \( y = \frac{a + p}{a - p} \):

Start with the equation:
\(y = \frac{a + p}{a - p}\)

Cross-multiply: \(y(a - p) = a + p\)

Distribute \( y \): \(ya - yp = a + p\)

Rearrange to isolate terms involving \( p \): \(ya - a = p + yp\)

Factor out \( p \) on the right side: \(ya - a = p(1 + y)\)

Finally, solve for \( p \): \(p = \frac{ya - a}{1 + y}\)

Thus, the formula with \( p \) as the subject is: \(p = \frac{a(y - 1)}{y + 1}\)

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