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  2. 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 ...

  3. Algebraic fraction - Wikipedia

    en.wikipedia.org/wiki/Algebraic_fraction

    A complex fraction is a fraction whose numerator or denominator, or both, contains a fraction. A simple fraction contains no fraction either in its numerator or its denominator. A fraction is in lowest terms if the only factor common to the numerator and the denominator is 1. An expression which is not in fractional form is an integral ...

  4. Cross-multiplication - Wikipedia

    en.wikipedia.org/wiki/Cross-multiplication

    This is a common procedure in mathematics, used to reduce fractions or calculate a value for a given variable in a fraction. If we have an equation =, where x is a variable we are interested in solving for, we can use cross-multiplication to determine that =.

  5. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    For example, in the fraction3 / 4 ⁠, the numerator 3 indicates that the fraction represents 3 equal parts, and the denominator 4 indicates that 4 parts make up a whole. The picture to the right illustrates ⁠ 3 / 4 ⁠ of a cake. Fractions can be used to represent ratios and division. [1]

  6. Square (algebra) - Wikipedia

    en.wikipedia.org/wiki/Square_(algebra)

    The square of an integer may also be called a square number or a perfect square. In algebra, the operation of squaring is often generalized to polynomials, other expressions, or values in systems of mathematical values other than the numbers. For instance, the square of the linear polynomial x + 1 is the quadratic polynomial (x + 1) 2 = x 2 ...

  7. The most dangerous roads during Christmas and New Year's Eve

    www.aol.com/finance/most-dangerous-roads-during...

    TruckInfo.net shares the trends shaping holiday travel and lists the 10 most dangerous roads during the season.

  8. Here's what Kash Patel's former colleagues are saying about him

    www.aol.com/news/heres-kash-patels-former...

    Patel also was involved in efforts to bring some of the most-wanted terrorists to the U.S. for prosecution, and worked on Trump administration efforts to return dozens of U.S. hostages back home.

  9. Fractionation - Wikipedia

    en.wikipedia.org/wiki/Fractionation

    [1] [2] Fractions are collected based on differences in a specific property of the individual components. A common trait in fractionations is the need to find an optimum between the amount of fractions collected and the desired purity in each fraction. Fractionation makes it possible to isolate more than two components in a mixture in a single run.