Math Is Fun Forum

im really bored

Member

Registered: 2005-05-12

Posts: 76

Another Algebra Problem

if x = (c - ab) / (a - b)  , find the value of the expression a(x + b) in simplified form

So far I have gotten this far

substitute : a ( (c - ab) / (a - b) + b )

simplify:  ( a(c - ab) / a - b )  + ( ab/ 1 )

           (  a(c - ab) + ab(a - b) ) / (a - b)

        (  ca - a^2(b) + a^2(b) - ab^2  ) / (a - b)

       (  ca - ab^2 )   /  (a - b)

Is this all I could simplify it, or am I missing something?

MathsIsFun

Administrator

Registered: 2005-01-21

Posts: 7,711

Re: Another Algebra Problem

That's as far as I can get.

Just express it as:    a(c-b^2) / (a-b)

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"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman