109k views
3 votes
Help me with my Algebra 2 work :) -- (Multiplying and Dividing Rational Expressions)(Drag and Drop question)

Help me with my Algebra 2 work :) -- (Multiplying and Dividing Rational Expressions-example-1

1 Answer

4 votes

a. For the expression P(x) • Q(x), we multiply the two functions.


(2)/(3x-1)*(6)/(-3x+2)

When multiplying rational expressions, simply multiply the numerator to the other numerator and the denominator to the other denominator.

Hence, P(x) • Q(x) is equal to:


(12)/((3x-1)(-3x+2))

b. For the expression, P(x) ÷ Q(x), we multiply P(x) to the reciprocal of Q(x).


(2)/(3x-1)*(-3x+2)/(6)

As mentioned above, when multiplying rational expressions, simply multiply the numerator to the other numerator and the denominator to the other denominator. The expression becomes:


(2(-3x+2))/(6(3x-1))

Then, simplify 2/6 to 1/3.

Hence, P(x) ÷ Q(x) is equal to:


(-3x+2)/(3(3x-1))

User Josh Moore
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories