Question

Can someone please provide an example problem showing multiplying and dividing rational expressions? I'm trying to get ready for a DBA tomorrow. Thank you!

Answer 1

Step-by-step explanation:

To multiply rational expressions, simply multiply the numerators together (the tops) and the denominators together (the bottoms).

For example:

$\frac{x+a}{y+b}\times\frac{x+c}{y+d}$

$= \frac{(x+a)(x+c)}{(y+b)(y+d)}$

$=\frac{x^{2}+ax+cx+ac}{y^{2}+by+dy+bd}$

To divide by a rational expression, multiply by its reciprocal.  In other words, flip the fraction, then multiply.

For example:

$\frac{x+a}{y+b}\div\frac{x+c}{y+d}$

$=\frac{x+a}{y+b}\times\frac{y+d}{x+c}$

$=\frac{(x+a)(y+d)}{(x+c)(y+b)}$

$=\frac{xy+dx+ay+ad}{xy+bx+cy+bc}$

Answer 2

I hope this helps... good luck