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Chapter 0: Problem 16
Evaluate each algebraic expression for the given value or values of the variable(s). $$\frac{2 x+y}{x y-2 x}, \text { for } x=-2 \text { and } y=4$$
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Explain how to factor the difference of two squares. Provide an example with your explanation.
Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$ 4^{-2}<4^{-3} $$
Simplify each expression. Assume that all variables represent positive numbers. $$ \left(8 x^{-6} y^{3}\right)^{\frac{1}{3}}\left(x^{\frac{5}{6}} y^{-\frac{1}{3}}\right)^{6} $$
Determine whether each statement is trueor false. If the statement is false, make the necessary change(s) toproduce a true statement. $$x^{3}-64=(x+4)\left(x^{2}+4 x-16\right)$$
will help you prepare for the material covered in the first section of the next chapter. If \(y=4-x^{2},\) find the value of \(y\) that corresponds to values of \(x\) for each integer starting with \(-3\) and ending with 3 .
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