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Is (x-1)^2 equal to x^2-1 ?

I'm a calculus 2 student currently and feel ashamed for not knowing the answer to this. :(

Much thanks.

7 Antworten

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  • navin
    Lv 7
    vor 8 Jahren
    Beste Antwort

    No, (x - 1)^2 = x^2 - 2x + 1 which is not equal to x^2 - 1 Ans.

  • vor 8 Jahren

    Nope. If you have x^3 that means x*x*x

    So if you have (x-1)^2 that means (x-1)(x-1) which equals to x^2 -2x + 1

  • (x - 1)² = x² - 2x + 1, whilst x²-1 obviously doesn't equal that.

    If you want to know how I get x² - 2x + 1 from (x - 1)², you simply square the x to get x², then you multiply x & -1 & 2 to get -2x & then you simply square the last number (-1) to get 1. The general rule is below:

    (x - 1)² follows the rule (a + b)² = a² +2ab + b².

  • vor 8 Jahren

    (x-1)^2 = x² -2x +1

    It is NOT equal to x² -1.

    It is not equal to the square of each term, added together.

    The square of a binomial is the square of each term (added together) PLUS

    twice the product of the 2 terms: (A ± B)² = A² + B² ±2AB. [The term I've

    placed last usually is placed in the middle.]

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  • vor 8 Jahren

    Use foil

    (x-1) (x-1)

    x^2 - x - x +1

    x^2 - 2x +1

    no

    Quelle(n): i remember pre algebra haha jk
  • vor 8 Jahren

    (x-1)^2 = (x-1)(x-1) = x^2 - 2x + 1

    x^2-1 = x^1 = x.... or did you mean (x^2) - 1? In either case, they're different

  • Anonym
    vor 8 Jahren

    We often forget the basics lol no shame. Yes, theyre equal.

    Quelle(n): In Algebra two now. Went over it just last year.
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