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An example that is easy to combine with subtraction, in this case, because the two fractions have common denominators. However, be aware that there may be a way to simplifying the answer further. …
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A brief informal reasoning of why any division can be changed to a multiplication by reciprocating the second number or fraction, i. e. the number going into the other number. Then an example of…
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This shows the results of factoring the GCF from the numerator and denominator of an algebraic fraction and then reducing using the division of identical factors resulting in replacing them with 1…
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An example where the terms are expanded into their separate factors so that the common factor can be identified and extracted and the remaining factors are left to stay inside parentheses.
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Expands each monomial as a list of all of its prime factors, then showing those that both lists have in common to develope the GCF.
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A short example of factoring each of two terms so we can see clearly what the common factors are.
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This one demonstrates how to eliminate the rational parts of the equation as usual, then gather the terms with the chosen variable on one side of the equal sign so that it can be factored to one…
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Demonstrates how to reduce a complex fraction when the technique of factoring a greatest common factor (GCF) is needed.
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A two step process is shown here. First, as always, look for a greatest common factor (GCF) and remove it from all terms. Then second, the resulting quadratic expresssion can then be factored into…
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This type of equation is solved by factoring a GCF from both terms once the proper form is achieved. Then the zero product property allows the separation of the two factors into two solvable linear…
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A two-step process involving first removing the greatest common factor from both terms, then factoring the resulting difference of squares.
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Demonstrates how to remove a common factor that not just a single number or variable, but a binomial i. e. a two-term expression.
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Demonstrates how factor a greatest common factor (GCF) from a polynomial.
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Shows how to factor the greatest common factor from a simple linear binomial
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Demonstration of how a single fraction is reduced to its lowest terms. There is also a review of finding the greatest common factor for two larger numbers by prime factorization.
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