Step-by-step explanation:
To multiply rational expressions, simply multiply the numerators together (the tops) and the denominators together (the bottoms).
For example:
[tex]\frac{x+a}{y+b}\times\frac{x+c}{y+d}[/tex]
[tex]= \frac{(x+a)(x+c)}{(y+b)(y+d)}[/tex]
[tex]=\frac{x^{2}+ax+cx+ac}{y^{2}+by+dy+bd}[/tex]
To divide by a rational expression, multiply by its reciprocal. In other words, flip the fraction, then multiply.
For example:
[tex]\frac{x+a}{y+b}\div\frac{x+c}{y+d}[/tex]
[tex]=\frac{x+a}{y+b}\times\frac{y+d}{x+c}[/tex]
[tex]=\frac{(x+a)(y+d)}{(x+c)(y+b)}[/tex]
[tex]=\frac{xy+dx+ay+ad}{xy+bx+cy+bc}[/tex]
