How do you determine if a polynomial is the difference of two squares?

  1. Gary Tittle profile image51
    Gary Tittleposted 6 years ago

    How do you determine if a polynomial is the difference of two squares?

  2. ThePelton profile image68
    ThePeltonposted 6 years ago

    If the two factors are the original first variable plus the second variable in the first bracket, and the first variable minus the second variable in the second bracket.  For example: (X-a)(x+a)=X squared minus A squared.  The central number cancels itself out in this ONE case.

  3. oldhorse profile image68
    oldhorseposted 6 years ago

    I believe you look for a pattern like:
    ax^2 - b
    where 'a' and 'b' both have integer square roots.

    e.g. 25x^2 - 4 = (5x + 2)(5x - 2)

 
working