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Math Help - Factoring an expression with four terms

  1. #1
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    Factoring an expression with four terms

    what about this?
    x^2-y^2-z^2+2yz
    thanks
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  2. #2
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    Quote Originally Posted by princess_21 View Post
    what about this?
    x^2-y^2-z^2+2yz
    thanks
    x^2 + xy - xz - xy - y^2 + yz + + zx + yz - z^2

    = x(x + y - z) - y(x + y - z) + z(x + y - z)

    =(x + y - z)(x - y + z)
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  3. #3
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    Quote Originally Posted by mr fantastic View Post
    x^2 + xy - xz - xy - y^2 + yz + + zx + yz - z^2

    = x(x + y - z) - y(x + y - z) + z(x + y - z)

    =(x + y - z)(x - y + z)
    why did it became like this? x^2 + xy - xz - xy - y^2 + yz + + zx + yz - z^2

    i have the same answer but different way. how did you come up with that equation?

    here's my solution
    x^2-(y^2-2yz+z^2)
    x^2-(y-z)^2
    {x+(y-z)}{x-(y+z)
    (x+y-z)(x-y+z)
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  4. #4
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    Quote Originally Posted by princess_21 View Post
    why did it became like this? x^2 + xy - xz - xy - y^2 + yz + + zx + yz - z^2

    i have the same answer but different way. how did you come up with that equation?

    here's my solution
    x^2-(y^2-2yz+z^2)
    x^2-(y-z)^2
    {x+(y-z)}{x-(y+z)
    (x+y-z)(x-y+z)
    Good for you. A much better way. I always do things the hard way.
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