please help..this is the last questions that i need to answer 9. In Multiplying Rational Algebraic Expressions, Remove thethen multiply.A. LCDB. SUMC. common factorD. Difference10. In Dividing Rational Algebraic Expressions, Multiply the dividend by theThen simplify.A. LCDof the divisor.B. ProductC. QuotientD. Reciprocal

Name: please help..this is the last questions that i need to answer 9. In Mu
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Description: please help..this is the last questions that i need to answer 9. In Multiplying Rational Algebraic Expressions, Remove thethen multiply.A. LCDB. SUMC. common factorD. Difference10. In Dividing Rational Algebraic Expressions, Multiply the dividend by

Answer(9): Suppose two rational algebraic expressions are x-ax-b and x-cx-a Then, the multiplication…

Answered: 9. In Multiplying Rational Algebraic…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter6: Fractions

Section6.1: Simplifying Fractions

Problem 1CE

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please help..this is the last questions that i need to answer

9. In Multiplying Rational Algebraic Expressions, Remove the
then multiply.
A. LCD
B. SUM
C. common factor
D. Difference
10. In Dividing Rational Algebraic Expressions, Multiply the dividend by the
Then simplify.
A. LCD
of the divisor.
B. Product
C. Quotient
D. Reciprocal

Expert Solution

Step 1

Answer(9):

Suppose two rational algebraic expressions are $\frac{(x - a)}{(x - b)}$ and $\frac{(x - c)}{(x - a)}$

Then, the multiplication of these expressions is given as:

$\frac{(x - a)}{(x - b)} \times \frac{(x - c)}{(x - a)}$

To further multiply the above expression, just remove the common factor $(x - a)$ .

So,

$\frac{(x - a)}{(x - b)} \times \frac{(x - c)}{(x - a)} = \frac{(x - c)}{(x - b)}$

Step 2

Therefore, the correct fill in the blank of question 9 is C. common factor.

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