Adding and Subtracting Rational Expressions (Continued)

Question 1

The prime factorizations of the denominators of [image 1] and [image 2] are given:10r2 = 2(5)(r)(r)4r = 2(2)(r)What is the LCD of the expressions?

Revolt · Accepted Answer

20r2

Question 2

What did you include in your response? Check all that apply.

Revolt · Accepted Answer

The closure property of subtraction for rational expressions states that the difference of two rational expressions is a rational expression.; The variable in a rational expression represents a number.; The closure property holds true for subtraction of rational numbers, so it also holds true for subtraction of rational expressions.

Question 3

Question 3

Revolt · Accepted Answer

new technologies; new manufacturing methods

Question 4

Which statement is true about the sum of ?

Revolt · Accepted Answer

The denominator of the simplified sum is 5y.

Question 5

Subtract:

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/EVresources/0db2e1d1185006afee5810afd489b542.png

Question 6

Subtract: What is the resulting rational expression?

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/EVresources/2f549e4d7a3e157dea811f1877d89c54.png

Question 7

The LCD of and a different rational expression is 24r. The numerator and denominator of should be multiplied by in order to create an equivalent expression with a common denominator.

Revolt · Accepted Answer

8

Question 8

12✔ 34

Revolt · Accepted Answer

3

Question 9

What is the closure property of subtraction for rational expressions? Explain why rational expressions are closed under subtraction.

Revolt · Accepted Answer

The closure property of subtraction for rational expressions states that the difference of two rational expressions is a rational expression. Since the variable in a rational expression just represents a number, and the closure property holds true for subtraction of rational numbers, it also holds true for subtraction of rational expressions for values for which the expressions are defined.

Adding and Subtracting Rational Expressions (Continued) Answers

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