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Problem 97

use the GRAPH or TABLE feature of a graphing utility to determine if the subtraction has been performed correctly. If the answer is wrong, correct it and then verify your correction using the graphing utility. $$\frac{x^{2}+4 x+3}{x+2}-\frac{5 x+9}{x+2}=x-2, x \neq-2$$

Problem 98

Determine whether each statement 鈥渕akes sense鈥 or 鈥渄oes not make sense鈥 and explain your reasoning. Simplifying rational expressions is similar to reducing fractions.

Problem 98

Will help you prepare for the materia$l covered in the next section. Subtract: $$\frac{7}{9}-\frac{1}{9}$$

Problem 98

use the GRAPH or TABLE feature of a graphing utility to determine if the subtraction has been performed correctly. If the answer is wrong, correct it and then verify your correction using the graphing utility. $$\frac{x^{2}-13}{x+4}-\frac{3}{x+4}=x+4, x \neq-4$$

Problem 99

Determine whether each statement 鈥渕akes sense鈥 or 鈥渄oes not make sense鈥 and explain your reasoning. I cannot simplify rational expressions without knowing how to factor polynomials.

Problem 99

Subtract: \(\frac{13}{15}-\frac{8}{45}\) (Section 1.2, Example 9)

Problem 99

Will help you prepare for the materia$l covered in the next section. Add: $$\frac{2 x}{3}+\frac{x}{3}$$

Problem 100

Determine whether each statement 鈥渕akes sense鈥 or 鈥渄oes not make sense鈥 and explain your reasoning. The rational expressions $$\frac{7}{14 x} and \frac{7}{14+x}$$ an both be simplified by dividing each numerator and each denominator by 7.

Problem 100

Factor completely: \(81 x^{4}-1\)

Problem 100

Will help you prepare for the materia$l covered in the next section. Simplify: $$\frac{x^{2}-6 x+9}{x^{2}-9}$$

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