EXAMPLE 2 m Simplifying Rational Expressions by Cancellation x? - 1 Simplify: x² + x - 2

Q: Consider the complex rational expression below. x+1 3 9 3 - x+1 What is this expression in simplest…

A: Given that a function of x and we write the simplest form of this function.   Here i the solution of…

Q: Rewrite the expression below as a single rational expression. 8x-9, 2x+3 2-x x-2

A: Given, 8x-9x-2+2x+32-x

Q: 1 The rational expression can still be decomposed. (9x2 + 16)? A FALSE B) TRUE

A: The rarational expression in implicit form therefore cannot be decomposed

Q: 1. Evaluate in rational form (no decimals). (4)(3°) a) (32°*)(32') (4)(3²) b) 32

A:

Q: how do I determine what value(s) of x make the following rational expression undefined?

A: To make the given expression undefined we must make denominator equal to zero.

Q: What is a rational expression? Give an example with your explanation.

A: A rational expression is simply a quotient of two polynomials. On the other hand, a rational…

Q: 2 of 4 2. What is the quotient of the rational expressions below in simplest form? 2x I+4 2²-16 A.…

A:

Q: 2x-2 What two rational expressions sum to x2-x-12 Enter your answer by filling in the boxes. Enter…

A: Given,           2x-2x2-x-12

Q: QUESTION 4a - Simplify a rational expression 14 Show steps to fully simplify the expression and…

A: Given that  The expression To simply the expression

Q: EXAMPLE 3 Multiplying Rational Expressions x² + 2x 3 3x + 12 Perform the indicated multiplication…

A: Definition used -          Multiplying rational expressions -        We multiply numerator by…

Q: (x + 3)(x + 5) The rational expression simplifies to if x -3. x + 3

A: Given: fx=x+3x+5x+3 To Find: simplification of the given rational expression.

Q: 27.) Write Vx5 using rational exponents. Evaluate the expression for x = 8.

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Decompose rational expression into simpler fractions

A:

Q: EXAMPLE 2 Simplifying Rational Expressions Simplify. - 16 8+ 2V a. -- 12

A: (a).Given, x2-16x2-x-12 To simplify above expression. Now, x2-16x2-x-12=x+4x-4x2-4x+3x-12…

Q: EXAMPLE 8 Simplifying a Compound Fraction (1 + x³)/2 – x²(1 + x²)-1/2 Simplify: 1 + x?

A: Given that, the compound fraction (1+x2)12-x2(1+x2)-121+x2 To simplify the fraction

Q: One pump can empty a water tank in y hours. A faster pump can empty the same tank 1.5 h faster. a)…

A:

Q: 7. Simplify the following rational expression. Show all your work for factoring! 5х-20 2x2-Зх-20…

A: Using factorization method

Q: How to Simplify a rational expression? Explain with examples.

A: Rational expression:

Q: I am not sure how to work through this problem to get the correct answer.

A: Given fraction is,

Q: True or False The rational expression (2x3 - 4x ) / ( x - 2) is reduced to lowest terms.

A: Given: The rational expression 2x3-4xx-2. The given expression can be simplified as,…

Q: EXAMPLE 5 Subtracting Rational Expressions Subtract the rational expressions and simplify the…

A: We have to subtract the rational expressions: 3x+5x2+4x+3-x-5x2+2x-3 Factorizing the denominator by…

Q: 3x-4 ? x2+x-12 What two rational expressions sum to Enter your answer by filling in the boxes. Enter…

A:

Q: Fill in blanks to simplify rational expression When - is simplified, the result is A+B¤+C Find the…

A: topic - rational expression

Q: Subtract to get a single rational expression in the denominator. x + 2 2 x - 1 The LCD is x(x - 1).…

A: Given expression is x+2x-2x-1

Q: 4x2-8х+3 2. S edx х2—3х-4

A:

Q: Drag the appropriate expression to complete the first step for writing an equivalent rational…

A:

Q: 1. Find the quotient using long division. Express the quotient as a rational expression. x+7)x…

A:

Q: Addition and Subtraction of Rational Algebraic Expressions In a clean sheet of paner try answering…

A:

Q: Exercise To Try 7 Based on the example above, what do you think we should multiply both the…

A:

Q: *+ 3x-1a Simplify the rational expression. 2 + 15x + 18 2x +3x-9 4x-9 *+3x- 18

A: We will simplify the rational expression by factorization as following.

Q: Find the domain of the rational expression below. x2 +14 over (x-5)(x+1)

A:

Q: 9-3x Identify the rational expression that is equivalent to 12x²+x O a. 9x-3x² 3 12x² + x O b. O c.…

A: Given: 9-3x12x2+x

Q: 6. Use the model question: Express the reciprocal of 2-5 in simplest radical form with a rational…

A:

Q: Show and explain all of the steps used in order to simplify the following rational expression x+2 to…

A: topic - rational expression

Q: 11. If two rational functions have the same restrictions, are they equivalent? Explain and…

A: We will check if they are equivalent.

Q: Is the set of rational expressions closed under subtraction? Explain p(x) r(x) %3D (x)b s(x) II

A: Topic = Polynomials

Q: rational irrational -34.83 V36 11 8. -2T

A:

Q: I am unsure of how to work out this problem.

A: Given:

Q: 1. Simplify the rational expression. Show your work. 3x+14x-5 x2+2x-15 3x-25x+8 8+15x-2x2 Describe…

A:

Q: Simplify  rational expression (x2 + 3x - 18)/(x2 - 36). Also, list all numbers that must be excluded…

A: On simplification, we get

Q: 11-5(a-b). Work with your team to simplify each rational expression below, showing any 1s. Verify…

A: A rational expression is like a fraction which is the ratio of two polynomials or functions. A…

Q: 3z-2 What two rational expressions sum to 12-z-12 Enter your answer by filling in the boxes. Enter…

A: Topic = Algebra

Q: 5. Simplify the rational expression.(a) (x^2+3x+2)/(x^-x-2) b. ((2x^2-x-1)/(x^2-9))*((x+3)/(2x+1))…

A: Dear student, Since you have posted multiple sub parts, as per our policy we will answer first three…

Q: ewrite n√x^m using a rational expressio

A: To rewrite the expression xmn as a rational exponent expression.

Q: 2. Adding rational expressions 2 a) x+3 x-1 + x+1 b) x+5 7x+10 x+5

A:

Q: 9-3x Identify the rational expression that is equivalent to 12x + x O a. 9x - 3x² 3 12x² + x O b. O…

A: We can answer the question as below.

Q: 1. What do you call an expression in fraction form in which the numerator and the denominator are…

A:

Q: EXAMPLE 5 Adding and Subtracting Rational Expressions Perform the indicated operations and simplify.…

A: We have to simplify the given expressions   the expressions are a) 3x-1+xx+2b)1x2-1-2(x+1)2