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Multiply (n-5) (n+5). Help with steps please?

7 Answers

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  • Como
    Lv 7
    10 months ago

    -

    ( n - 5 ) ( n + 5 ) = n² + 5n - 5n - 25 = n² - 25

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  • 10 months ago

    Use FOIL

    (n - 5)(n + 5)

    F(First ; n X n = n^2

    O(Outside) ; n X 5 = 5n

    I(Inside) : -5 X n = -5n

    L(Last) ; - 5 X +5 = -25

    Collect like terms

    n^2 + 5n - 5n - 25 = n^2 - 25

    Sone!!!!!

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  • sepia
    Lv 7
    10 months ago

    (n - 5)(n + 5)

    = n^2 - 5n + 5n - 25

    = n^2 - 25

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  • David
    Lv 7
    10 months ago

    Use the FOIL method to work out the answer as n^2 -25

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  • 10 months ago

    (n - 5)(n + 5) = n^2 - 25

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  • Jim
    Lv 7
    10 months ago

    Difference of squares

    n² - 25

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  • 10 months ago

    You can use distribution or FOIL:

    Distribution:

    n(n + 5) - 5(n + 5)

    = n² + 5n - 5n - 25

    = n² - 25

    FOIL:

    First: n * n --> n²

    Outer: n * 5 --> 5n

    Inner: -5 * n --> -5n

    Last: 5 * -5 --> -25

    Add those up; you can cancel 5n and -5n

    = n² - 25

    Now that you've seen it the long way, you can just recognize the pattern. It's known as a difference of squares factoring:

    a² - b² = (a + b)(a - b)

    So in your case:

    (n + 5)(n - 5)

    = n² - 5²

    = n² - 25

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