Question

Simplify ((1/y-b)-(1/y))/b

Answer 1

\[\frac{ (\frac{ 1 }{ y-b }) - (\frac{ 1 }{ y }) }{ b }\]

it looks like this, isn't it?

Answer 2

yes

Answer 3

ok

Answer 4

\[\frac{ (\frac{ 1 }{y-b }) - (\frac{ 1 }{ y }) }{ b } = \frac{ \frac{ y -(y-b) }{ y(y-b) } }{ b } =\frac{ \frac{ y-y+b }{ y(y-b) } }{ b } = \frac{ \frac{ b }{y(y-b) } }{ b } = \frac{ b }{ y(y-b) } \times \frac{ 1 }{ b } = \frac{ 1 }{ y(y-b) }\]

Answer 5

get it ??

Answer 6

So
\[\frac{ 1 }{ y(y-b) }\]

Answer 7

so for the reciprocal of b you don't multiply by b/1 right it's 1/b?

Answer 8

@gerryliyana ?

Answer 9

\[\frac{ \frac{ b }{ y(y-b) } }{ b } = \frac{ \frac{ b }{ y(y-b) } }{ \frac{ b }{ 1 } } = \frac{ b }{ y(y-b) } \times \frac{ 1 }{ b }\]

Answer 10

oh i see

Answer 11

get it?

Answer 12

ok good

Answer 13

yeah thank you!

Answer 14

you are very welcome :)