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Math Help - factoring is confusing me. help...

  1. #1
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    factoring is confusing me. help...

    i really need help with some factoring!!
    ive been working on these 2 problems foreverrr!!!!!!!!!!

    (x+a)^2 - 2(x+a) (y+a) + (y+a)^2

    and

    x^2-8x(x-3y) +16(x-3y)^2
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  2. #2
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    Hi xosherry,


    For the first problem,
     (x+a)^2 -2(x-a)(y+a) +(y+a)^2

    try a change of variables to maybe simplify things
    let  u=(x+a) \; v=(y+a) then rewriting the equation results in

    u^2-2uv+v^2 \ { } = \ { } (u-v)(u-v)=(u-v)^2

    now replacing what we defined as u and v we get

      [ (x+a)-(y+a)]^2 \;=[x+a-y-a]^2 =(x-y)^2

    For the second problem  x^2 -8x(x-3y) +16(x-3y)^2

    using the same technique let  u=x  \; v=(x-3y)
    rewriting the equation will result in

       u^2 -8uv-16v^2

    factor this expression and back substitute for u and v


    Hope this helps
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  3. #3
    Like a stone-audioslave ADARSH's Avatar
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    Quote Originally Posted by Nokio720 View Post
    Hi xosherry,


    For the first problem,
     (x+a)^2 -2(x\color{red}+\color{black}a)(y+a) +(y+a)^2

    try a change of variables to maybe simplify things

    Hope this helps
    A very tiny typo
    Just remember the formula he has given
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