1-(x/x^2-5+4),(x+1/x^2-16)

2-(6/a6^2-7a+6),(3/a^2-36)

3-(7/x^2+4x+4),(5/4-x^2)

- Jul 18th 2008, 11:55 AMmanznitaa5lowest common denominator in fraction(help me with this problems)
1-(x/x^2-5+4),(x+1/x^2-16)

2-(6/a6^2-7a+6),(3/a^2-36)

3-(7/x^2+4x+4),(5/4-x^2) - Jul 18th 2008, 03:24 PMmasters

1)$\displaystyle \frac{x}{x^2-5x+4} \ \ , \ \ \frac{x+1}{x^2-16}$

First, factor the denominators:

$\displaystyle (x-1)(x-4) \ \ , \ \ (x-4)(x+4)$

The LCD is found by using all the different factors the most number of times they appear in any one denominator.

$\displaystyle LCD = (x-1)(x-4)(x+4)$

2)$\displaystyle \frac{6}{a^2-7a+6} \ \ , \ \ \frac{3}{a^2-36}$

Same steps as before. Factor the denominators:

$\displaystyle (a-6)(a-1) \ \ , \ \ (a-6)(a+6)$

$\displaystyle LCD = $

Can you finish? Try #3 and see how far you get.