Question

Help me with my Algebra 2 work :) -- (Multiplying and Dividing Rational Expressions)(Drag and Drop question)

Answer 1

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))`