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Chapter 0: Problem 5
Evaluate each algebraic expression for the given value or values of the variable(s). $$x^{2}+3 x, \text { for } x=8$$
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Factor each perfect square trinomial. $$4 x^{2}+4 x+1$$
What difference is there in simplifying \(\sqrt[3]{(-5)^{3}}\) and \(\sqrt[4]{(-5)^{4} ?}\)
Factor and simplify each algebraic expression. $$x^{\frac{3}{4}}-x^{\frac{1}{4}}$$
Write each English phrase as an algebraic expression. Then simplify the expression. Let x represent the number. A number decreased by the sum of the number and four.
In Exercises 103鈥�106, determine whether each statement makes sense or does not make sense, and explain your reasoning. Knowing the difference between factors and terms is important: In \(\left(3 x^{2} y\right)^{2},\) I can distribute the exponent 2 on each factor, but in \(\left(3 x^{2}+y\right)^{2},\) I cannot do the same thing on each term.
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