Question

Given 1/f=1/v+1/u. make v the subject of the relation ​

Answer 1

v =
`(fu)/(u-f)`

Explanation:

Given

`(1)/(f)` =
`(1)/(v)` +
`(1)/(u)`

Multiply through by fuv to clear the fractions

uv = fu + fv ( subtract fv from both sides )

uv - fv = fu ← factor out v from each term on the left side

v(u - f) = fu ← divide both sides by (u - f)

v =
`(fu)/(u-f)`