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Magazine Problem 27
In \(25-30,\) perform the indicated operations and write the result in simplest form. In each case, list any values of the variables for which the fractions are not defined. $$ \frac{2 a}{a+2} \cdot \frac{a^{2}-4}{4 a^{2}} \div \frac{a-2}{a} $$
Problem 28
In \(25-30,\) perform the indicated operations and write the result in simplest form. In each case, list any values of the variables for which the fractions are not defined. $$ \left(x^{2}-2 x+1\right) \div \frac{x-1}{3} \cdot \frac{x+4}{3 x} $$
Problem 28
Write each rational expression in simplest form and list the values of the variables for which the fraction is undefined. \(\frac{3-(b+1)}{4-b^{2}}\)
Problem 29
In \(25-30,\) perform the indicated operations and write the result in simplest form. In each case, list any values of the variables for which the fractions are not defined. $$ (3 b)^{2} \div \frac{3 b}{b+2} \cdot \frac{2 b+4}{b} $$
Problem 29
Write each rational expression in simplest form and list the values of the variables for which the fraction is undefined. \(\frac{4-2(x-1)}{x^{2}-6 x+9}\)
Problem 30
Write each rational expression in simplest form and list the values of the variables for which the fraction is undefined. \(\frac{5(1-b)+15}{b^{2}-16}\)
Problem 30
In \(25-30,\) perform the indicated operations and write the result in simplest form. In each case, list any values of the variables for which the fractions are not defined. $$ \frac{x^{2}-3 x+2}{4 x} \cdot \frac{12 x^{2}}{x^{2}-2 x} \div \frac{x-1}{x} $$
