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Chapter 0: Problem 38
Add or subtract as indicated. $$\frac{2 x+3}{3 x-6}-\frac{3-x}{3 x-6}$$
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$$\text { Factor completely.}$$ $$7 x^{4}+34 x^{2}-5$$
Evaluate each algebraic expression for the given value or values of the variable(s). $$x^{2}-3(x-y), \text { for } x=8 \text { and } y=2$$
A large number can be put into perspective by comparing it with another number. For example, we put the \(\$ 15.2\) trillion national debt (Example 12 ) and the \(\$ 2.17\) trillion the government collected in taxes (Exercise 115 ) by comparing these numbers to the number of U.S. citizens. For this project, each group member should consult an almanac, a newspaper, or the Internet to find a number greater than one million. Explain to other members of the group the context in which the large number is used. Express the number in scientific notation. Then put the number into perspective by comparing it with another number.
Find all integers \(b\) so that the trinomial can be factored. $$x^{2}+b x+15$$
Fill in each box to make the statement true. Find the exact value of \(\sqrt{13+\sqrt{2}+\frac{7}{3+\sqrt{2}}}\) without the use of a calculator.
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