solve, predigest this multinomial: (ax+b)/(cx+d)

[neworld222]

the answer is a/c+[(bc-ad)/c^2]*1/(x+d/c)
but i couldn't solve the process.
can you give me the detailed process?
thank u

 

[skeeter]

solve, predigest this multinomial: (ax+b)/(cx+d)

there is no equation, so what is there to "solve"?

what does "predigest" mean?

 

[Deleted member 4993]

I assume, you want to show:

(ax+b)/(cx+d) = a/c+[(bc-ad)/c^2]*1/(x+d/c)

(ax+b)/(cx+d)

= (a/c x + b/c)/(x + d/c)

= (a/c x)/(x + d/c) + (b/c)/(x + d/c)

= (a/c) - {ad/(c^2)}/(x + d/c) + (b/c)/(x + d/c)

= (a/c) - {ad/(c^2) - (b/c)}/(x + d/c)

Now continue...