The process of multiplying rational expressions entails combining the numerators to create a fresh numerator and merging the denominators to develop a new denominator. This leads to the formation of a unique rational expression. Prior to multiplication, it's crucial to simplify the expression through factoring and to eliminate any common factors present in both the numerator and denominator.
| Topic | Problem | Solution |
|---|---|---|
| None | Multiply the following rational expr \[ \frac{x^{… | Given the rational expressions \(\frac{x^{2}+2 x-15}{x^{2}+(-4) x-12}\) and \(\frac{x^{2}+8 x+12}{x… |
| None | Multiply the rational expressions and choose the … | Given the rational expressions \(\frac{x-3}{x+5}\) and \(\frac{10x+50}{7x-21}\) |
| None | Fill in the blank to make equivalent rational exp… | \frac{6y}{y-1} = \frac{6y(y-5)}{(y-1)(y-5)} |
| None | 2 What is the product of \( \frac{r^{2}-16}{r^{2}… | Factorize numerators and denominators: \( \frac{(r+4)(r-4)}{(r+1)(r+3)} \) and \( \frac{3(r+3)}{(r+… |