Concept explainers
In Exercises 29-66, perform the indicated operations. These exercises involve addition and subtraction when denominators are different. Simplify the result, if possible.
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Intermediate Algebra for College Students (7th Edition)
- Use the properties of exponents to determine the value of a for the equationx3 / 5√ x6 = xaarrow_forwardmultiply the rational expression 8u2v / 3u+v multiplied by u+v / 12uarrow_forwardStep 2: Divide each numerator and denominator by the common factor wbich is x + 5. (x+5)(x-5) (x+5)(x+3) x2-25 x-5 is x+3" Answer: The lowest term of x2+8x+15 Let's Apply (Exercises) Give the greatest common factor (GCF) to both numerator and denominator. Assume that the denominator is nonzero. ах+ау 4) y2 +xy 20c3 1) 5c 18x-24 4(x+3) 5) 3) 8(x+3) 60 3x-3y бх-6у Let's Analyze (Enrichment Exercises) Reduce each rational expression to lowest terms. Assume that the denominator is not equal to zero. a² –1 4) 1-a x²+3x 1) x2 +5x+6 2x2-10x+8 5) 3x2 -7x+4 9y+18 2) y2 +4y+4 x2 -1 3) x2+2x+1 Additional Activities (Critical Thinking) x3+1 Evaluate if x = 3,215 without using a calculator. Show your work. x2-x+1 (Clue: Factor both numerator and denominator.) Let's Try. (Evaluation) Encircle the letter of the best answer. 1) Which of the following expressions is in simplest form? x+2 А. 2x+8 B. 2 2x C. 8x6 D. 2x3 10 (x+3) 2(x-3)(x+3)' В. 10 2) In the expression x cannot be equal to С.3 D. 5 А. 2arrow_forward
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