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Two examples of distributing radicals into a sum of other radicals and simplifying in the process.
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A short demonstration of multiplying and then reducing the result when presented with the product of two radical expressions.
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This shows how to use the LCD of the two fractions that form a proportion to simplify the equation to a quadratic equation, then solve the quadratic by factoring and check the validity of the …
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A short discussion of how compunde interest works and why the amount in a compound interest account grows more and more quickly.
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Shows that the division of sqaure roots is equivalent to the square root of a fraction, and then simplifies the fraction to complete the task.
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Demonstrats how to free all perfect squar in a radical expression so they are whole.
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A complex fraction is multiplied through on the top and the bottom by the common denominator of all smaller fractions, eliminating the denominators of those smaller fractions.
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This example shows how to factor each denominator and then determine which of these factors are needed to create the least common denominator (LCD). Then the fractions are expanded by multiplying…
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A quick justification of dividing fractions by multiplying by the reciprocal of the second fraction in the division followed by an example that involves reducing the common factors in the numerator…
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This shows four examples just to cover a variety of "looks". There is at least one of each tyoe,
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A quick F.O.I.L. pattern to multiply two binomails. One of the variable terms is negative.
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This shows both a subtraction and an addition example for finding the sum and difference of two trinomials.
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Two examples of expressions with negative exponents that are changed to expressions with positive exponents, leaving the numerical factor as is.
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A short demo of this rule
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A short example of how the power rule works.
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The product rule is stated in general and then applied to an example.
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