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  2. Clearing denominators - Wikipedia

    en.wikipedia.org/wiki/Clearing_denominators

    The result is an equation with no fractions. The simplified equation is not entirely equivalent to the original. For when we substitute y = 0 and z = 0 in the last equation, both sides simplify to 0, so we get 0 = 0, a mathematical truth. But the same substitution applied to the original equation results in x/6 + 0/0 = 1, which is ...

  3. Partial fraction decomposition - Wikipedia

    en.wikipedia.org/wiki/Partial_fraction_decomposition

    In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is, a fraction such that the numerator and the denominator are both polynomials) is an operation that consists of expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator. [1]

  4. Cross-multiplication - Wikipedia

    en.wikipedia.org/wiki/Cross-multiplication

    Note that even simple equations like = are solved using cross-multiplication, since the missing b term is implicitly equal to 1: =. Any equation containing fractions or rational expressions can be simplified by multiplying both sides by the least common denominator.

  5. Equating coefficients - Wikipedia

    en.wikipedia.org/wiki/Equating_coefficients

    The unique pair of values a, b satisfying the first two equations is (a, b) = (1, 1); since these values also satisfy the third equation, there do in fact exist a, b such that a times the original first equation plus b times the original second equation equals the original third equation; we conclude that the third equation is linearly ...

  6. 26 Thanksgiving side dishes ranked from healthiest to ...

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    10 healthiest Thanksgiving side dishes. 1. Roasted Brussels sprouts. 2. Butternut squash soup. 3. Awesome sausage, apple, and cranberry stuffing. 4. Simple roasted butternut squash

  7. Cancelling out - Wikipedia

    en.wikipedia.org/wiki/Cancelling_out

    For example, in the simple equation 3 + 2y = 8y, both sides actually contain 2y (because 8y is the same as 2y + 6y). Therefore, the 2y on both sides can be cancelled out, leaving 3 = 6y, or y = 0.5. This is equivalent to subtracting 2y from both sides. At times, cancelling out can introduce limited changes or extra solutions to an equation.

  8. College Football Playoff ranking projection: Oregon leads top ...

    www.aol.com/college-football-playoff-ranking...

    The debut College Football Playoff rankings can be used as a road map for the rest of the regular season. Here are a few things to expect: Look for the Big Ten and SEC to dominate the top half of ...

  9. Egg prices are going even higher. This time it’s avian flu ...

    www.aol.com/egg-prices-going-even-higher...

    Egg prices have risen steadily over the past two years. A spike in avian flu and the approaching holiday season are combining to make the problem even worse. “Thanksgiving (dinner) is the same ...

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