Question

The third proportional to (x² – y²) and (x – y) is ______.

Options

• `(x - y)/(x + y)`

• `(x + y)/(x - y)`

• (x + y)

• (x – y)

Answer 1

The third proportional to (x² – y²) and (x – y) is `underlinebb((x - y)/(x + y))`.

Explanation:

The third proportional t satisfies (x² – y²) : (x – y) = (x – y) : t.

Since `x^2 − y^2 = (x - y)(x + y), t = (x - y)/(x + y)`.