How do you find the LCD of #49/(s^2-100) , (s+7)/(s^2-8s-20)#?

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Answer 1 · 2016-09-06T00:15:08

The LCD is #(s - 10)(s + 10)(s + 2)#.

Factor both denominators.

#s^2 - 100 = (s + 10)(s - 10)#

#s^2 - 8s - 20 = (s - 10)(s + 2)#

What do these factorings have in common?

#s - 10#

What don't they have in common?

#s + 10# and # s+ 2#

Hence, the LCD will be #(s- 10)(s + 10)(s + 2)#.

Hopefully this helps!