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Chapter 0: Problem 57
Factor using the formula for the sum or difference of two cubes. $$x^{3}+27$$
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Will help you prepare for the material covered in the next section. Factor the numerator and the denominator. Then simplify by dividing out the common factor in the numerator and the denominator. $$\frac{x^{2}+6 x+5}{x^{2}-25}$$
Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$ 5^{-2}>2^{-5} $$
Factor Completely. $$(x+y)^{4}-100(x+y)^{2}$$
Determine whether each statement makes sense or does not make sense, and explain your reasoning. A model that describes the average cost of tuition and fees at private U.S. colleges for the school year ending x years after 2000 cannot be used to estimate the cost of private education for the school year ending in 2000.
Determine whether each statement is trueor false. If the statement is false, make the necessary change(s) toproduce a true statement. \(x^{4}-16\) is factored completely as \(\left(x^{2}+4\right)\left(x^{2}-4\right)\)
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