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  2. Perfect square - Wikipedia

    en.wikipedia.org/wiki/Perfect_square

    Print/export Download as PDF ... move to sidebar hide. A perfect square is an element of algebraic structure that is equal to the square ... Perfect square trinomials

  3. Quartic equation - Wikipedia

    en.wikipedia.org/wiki/Quartic_equation

    The effect has been to fold up the u 4 term into a perfect square: (u 2 + a) 2. The second term, au 2 did not disappear, but its sign has changed and it has been moved to the right side. The next step is to insert a variable y into the perfect square on the left side of equation , and a corresponding 2y into the coefficient of u 2 in the

  4. Perfect square trinomials - Wikipedia

    en.wikipedia.org/?title=Perfect_square...

    This page was last edited on 1 November 2008, at 06:47 (UTC).; Text is available under the Creative Commons Attribution-ShareAlike 4.0 License; additional terms may apply.

  5. Trinomial expansion - Wikipedia

    en.wikipedia.org/wiki/Trinomial_expansion

    Layers of Pascal's pyramid derived from coefficients in an upside-down ternary plot of the terms in the expansions of the powers of a trinomial – the number of terms is clearly a triangular number. In mathematics, a trinomial expansion is the expansion of a power of a sum of three terms into monomials. The expansion is given by

  6. Square number - Wikipedia

    en.wikipedia.org/wiki/Square_number

    Square number 16 as sum of gnomons. In mathematics, a square number or perfect square is an integer that is the square of an integer; [1] in other words, it is the product of some integer with itself. For example, 9 is a square number, since it equals 3 2 and can be written as 3 × 3.

  7. Difference of two squares - Wikipedia

    en.wikipedia.org/wiki/Difference_of_two_squares

    Another geometric proof proceeds as follows: We start with the figure shown in the first diagram below, a large square with a smaller square removed from it. The side of the entire square is a, and the side of the small removed square is b. The area of the shaded region is . A cut is made, splitting the region into two rectangular pieces, as ...

  8. The Troubled-Teen Industry Has Been A Disaster For Decades ...

    testkitchen.huffingtonpost.com/island-view

    The Troubled-Teen Industry Has Been A Disaster For Decades. It's Still Not Fixed.

  9. List of Mersenne primes and perfect numbers - Wikipedia

    en.wikipedia.org/wiki/List_of_Mersenne_primes...

    This is due to the Euclid–Euler theorem, partially proved by Euclid and completed by Leonhard Euler: even numbers are perfect if and only if they can be expressed in the form 2 p−1 × (2 p − 1), where 2 p − 1 is a Mersenne prime. In other words, all numbers that fit that expression are perfect, while all even perfect numbers fit that form.