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.

$\frac{2}{3x-1}\times\frac{6}{-3x+2}$

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:

$\frac{12}{(3x-1)(-3x+2)}$

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

$\frac{2}{3x-1}\times\frac{-3x+2}{6}$

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:

$\frac{2(-3x+2)}{6(3x-1)}$

Then, simplify 2/6 to 1/3.

Hence, P(x) ÷ Q(x) is equal to:

$\frac{-3x+2}{3(3x-1)}$