How do you factor an expression as a difference of squares?

How do you factor an expression as a difference of squares. Ex: xsquared-(y-z)squared

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  • 1 decade ago
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    Okay, so you know a^2 - b^2 = (a + b)(a - b), i hope.

    so it would be (x + y - z)[x - (y-z)], or (x + y - z)(x - y + z).

    Hope that helps!

  • 1 decade ago

    there is an identity called "the difference of two squares"

    A*A - B*B = (A + B) * (A - B)

    you can factor an expression by substituting one side of the equation for the other when you recognize that the expression or part of the expression takes this form.

  • 1 decade ago

    Every expression of the form: x*x - y*y can be factored into: (x + y) * (x - y).

  • Anonymous
    1 decade ago

    x2 – (y – z)2

    = (x – (y – z))(x + (y – z))

    = (x – y + z)(x + y – z)

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  • 1 decade ago

    You have to learn to recognise this ...

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

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