Find the product.?

[(x-7)+y] [(x-7)-y]

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  • 1 decade ago
    Favorite Answer

    First multiply through using FOIL:

    First: (x - 7)(x - 7)

    Outer: -y(x - 7)

    Inner: y(x - 7)

    Last: - y²

    The outer and inner terms cancel and you get:

    (x - 7)² - y²

    If you recognize that you have a = x - 7, and b = y, then you might have (a + b)(a - b) which results in a difference of squares (a² - b²). Either way, you get to the same result.

    (x - 7)² - y²

    Finally, expand (x - 7)²

    (x² - 14x + 49) - y²

  • 1 decade ago

    Difference of squares so it's (x-7)^2 - y^2

  • 1 decade ago

    [(x-7)+y] [(x-7)-y] = (x-7)^2 - y^2 = x^2-14x+49 - y^2

  • Anonymous
    1 decade ago

    [(x-7)+y] [(x-7)-y]

    (x-7)^2 - y^2

    x^2 - 14x +49 - y^2

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  • 1 decade ago

    (x^2 - 14x + 49) -y^2

    I'm 90% sure. 10% is because I did it in my head :[

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