Dividing Rational Expressions Pdf

ë 9 6 ë ë 9 9. Ad bc ad bc Example 7 x 1 x 2 2x 3 7 x 1 2x 3 x 2 72x 3 x 1x 2 x 3 2 Dividing Rational Expressions Find the quotient 7x 2x 10 x2 6x x2 11x 30.

Rational Expressions Applications Math Lib Rational Expressions Simplifying Rational Expressions Expressions

Multiply numerators and denominators 5.

Dividing rational expressions pdf. 9 à à. Dividing Rational Expressions Date_____ Period____ Simplify each expression. 0 Example 3 Divide.

It helps to factor all of the numerators and denominators first 7. 102 Multiply Divide Rational Expressions. 4 4 5 1 1 2 x x x x Solution.

5 4 ë. S implifying Rational Expressions A rational expression is a quotient of two monomials andor polynomials. 6 ã.

à 9 à. Factor out the greatest common factor GCF if any in all numerators and denominators2. To Divide Rational Expressions Invert the divisor the second fraction and multiply.

Monitoring Progress and Modeling with Mathematics 3. 1 60 x3 12 x 2 70 v2 100 v 3 m 7 m2 4m 21 4 n2 6n 5 n 1 5 35 x 35 25 x 40 6 n2 16 n 63 n2 2n 35 Simplify each and state the excluded values. 5 2 5 2 5 6 x x x x x 6.

The process is identical for division with the extra first step of multiplying by the reciprocal. Get Free Multiplying And Dividing Rational Expressions Answers Quiz Elementary Algebra 2e College Algebra.

Concepts and Contexts Prealgebra is designed to meet scope and sequence requirements for a one-semester prealgebra course. 1 10 n 9 13 n2 16 160 117 n 2 16 n 17 8n 6 12 17 3 2 7 18 8x2 8x2 63 4 12 7 4 11 r 33 r 7 5 7 18 6 9a 7a 12 6 5 20 5x 3 3 20 x 7 4n n 6 4n 8n 48 8 8 3 28 b 3 b 1 b 1 28 b 9 7a2 7a3 56 a2 2 a2 7a 8 a 1 2 10 6. Dividing Rational Expressions no cross cancelling until after second fraction has been flipped 1.

Multiplying and Dividing Rational Expressions SHORT ANSWER. Write the answer in lowest terms. 4 2 7 4 21 n m n m 7.

1 3x2 5 30 x3 1 2 2p - 2 p 7p2 4p - 4 2 Divide. ë 8. Factor both the numerator and denominator as completely as possible.

DIVIDING RATIONAL EXPRESSIONS Sample Problem. 4 4 5 1 1 2 x x x x 5 4 1 1 1 1 x x x x x 5 4 1 1 1 1 x x x x x 5 4 x Student Practice. B.

Flip second fraction and change to multiplication 2. Rational Expressions Date_____ Period____ State the excluded values for each. 1 3 8 v 5 9v 2 8n 7n5 2n 9n4 3 x 9 x 3x 3 x 9 5x2x 3 4 810 x x 1x 10 x 8 x 8x 1 5 r2 2r 63 r 10 r2 11r 28 r 10 6 6v3 18v2 6v2 v 3 6v2 7 10a 20 10 a2 7a 18 10 8 9 9p 18 1.

SOLUTION Multiply by reciprocal. The text introduces the fundamental concepts of algebra while addressing the needs of. Factor where possible 3.

Invert the divisor and multiply as shown below. 6 ã. View 27-Multiplying_and_Dividing_Rational_Expressions_KEYpdf from MATH 135 at Westchester Community College.

7 p 4 p2 6p. To divide one rational expression by another multiply the fi rst rational expression by the reciprocal of the second rational expression. Handout - Fractions and Rational Expressions Algebraic Rules for Fractions and Rational Expressions abcd may be numbers or variable expressions.

Write the answer in lowest terms. Cancel common factors 4. 3x1 2 x2 - 1 5x2 2x 3y 5y2 1 2 etc.

3 2x2 3 x3 15 3 4 x2 - 64 x 2x 16 x - 8 4 MULTIPLE CHOICE. Thus becomes when simplified. In simplifi ed form.

5 9 ë. Dividing Rational Expressions Let a b c and d be expressions with b 0 c 0 and d 0. Divide and Simply the following Rational Expressions Hint.

Write the word or phrase that best completes each statement or answers the question. When multiplying with rational expressions we follow the same pro-cess first divide out common factors then multiply straight across. Divide out any factors common to both the numerator and denominator.

17 8 2 2 2 2 8 4 6 25 18 12 3 5 8 19 9 5 9 2 10 20 10 2 7 3 12 21 11 7 11 12 84 22 10 9 2 90 1 9 30 23 2 6 16 11 9 24 3 5 3 10 50 5 13 40 4 9 26 4. Adding and Subtracting a b c b a c b has Common Denominator requires a Common Denominator a b c d a b d d c d b b ad cd bd Multiplying a b c d ac bd just multiply topsbottoms Dividing - ip bottom ab cd a b d c ad bc. Dividing Rational Expressions Simplify each expression.

5 4 à 6 9 10. Property a b c d a b Simplify d c if possible. Divide the following rational expressions.

1 1 x 4 x2 9x 20 x 2 2 7 b2 5b 4 b2 8b 7 b 7 3 9r2 18 r r 2 1 r 2 4 8n 4n 4 4n 4 10 5 7a2 28 a a 4 1 5a2 6 1 x 5 6x 30 6 7 1 v 4 v2 7v 12 v 3 8 n 2 n2. Excluded Values Simplify. The xpression e x2 4x 12 does not match the others x2 6x because it is the only expression that is not in simplifi ed form.

3 2 2 2 6a a b a a b To divide rational expressions multiply the first by. DIVIDING RATIONAL EXPRESSIONS To Divide Two Fractions Example 1 Divide. 7 ë.

Multiplying Dividing Rational Expressions Multiply each and state the excluded values. To Simplify Rational Expressions 1. 20 24 4𝑥 7𝑥 4𝑥 3 𝑥4𝑥 3 𝑎𝑐 𝑏𝑐 4𝑥 3 2𝑥9.

State restrictions throughout process a b. To simplify this expression factor b from each term in the numerator then divide it out.

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