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Chapter 0: Problem 102
Write each algebraic expression without parentheses. $$\frac{1}{2}(2 y)+[(-7 x)+7 x]$$
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$$\text { Factor completely.}$$ $$2 x^{2}-7 x y^{2}+3 y^{4}$$
Find the intersection of the sets. $$\\{r, e, a, l\\} \cap\\{l, e, a, r\\}$$
Find the intersection of the sets. $$\\{s, e, t\\} \cap\\{t, e, s\\}$$
Determine whether each statement makes sense or does not make sense, and explain your reasoning. I factored \(4 x^{2}-100\) completely and obtained \((2 x+10)(2 x-10)\)
List all numbers from the given set that are a. natural numbers, b. whole numbers, c. integers, d. rational numbers, e. irrational numbers, f. real numbers. $$\left\\{-11,-\frac{5}{6}, 0,0.75, \sqrt{5}, \pi, \sqrt{64}\right\\}$$
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