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Math Help - Need help simplifying some expressions!

  1. #1
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    Need help simplifying some expressions!

    Ok, I have a couple of expressions that I need to put in terms of X (and only X), where X=(A-B)/A. I have listed them below...I know that this should be relatively simple but I seem to be having alot of trouble with this. Could anyone please show/explain how to go about simplifying these expressions? Thanks a bunch in advance!

    Expression 1: (B)/((3*A)-(2*B))
    Expression 2: (2*(A-B))/((3*A)-(2*B))
    Expression 3: (A-B)/((3*A)-(2*B))
    Expression 4: ((-.5*A)-B)/((.5*A)-B)
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  2. #2
    MHF Contributor Siron's Avatar
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    Re: Need help simplifying some expressions!

    Expression 1: \frac{B}{3A-2B}
    And because x=\frac{A-B}{A} \Rightarrow x=1-\frac{B}{A} \Rightarrow \frac{B}{A}=1-x \Rightarrow B=A-Ax \ \mbox{and} \ A=\frac{B}{1-x}
    Therefore you can write expression 1 as:
    \frac{A-Ax}{\frac{3B}{1-x}-2A+2Ax}=\frac{A-Ax}{\frac{3A-3Ax}{1-x}-2A+2Ax}=\frac{A(1-x)}{A\left[\left(\frac{3-3x}{1-x}\right)-2+2x\right]}=...

    Try to do something similar for the other expressions.
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