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Mathematics 18 Online
OpenStudy (anonymous):

find the LCM of t^2-81 and t^2+14t+45

OpenStudy (saifoo.khan):

expand. (t-9)(t+9) and (t+9)(t+5) Taking commons, (t-9) (t+9) ( t+5)

OpenStudy (anonymous):

huh i dont understand what you are say and how you work the problem

OpenStudy (saifoo.khan):

t^2-81 and t^2+14t+45 Factor them seperately. (t^2 - 81) and t^2+14t+45 (t-9)(t+9) and (t+9)(t+5)

OpenStudy (anonymous):

The least common multiple must have all of the factors from both terms, without duplicating.

OpenStudy (saifoo.khan):

Now look, (t+9) is common in both so we will take it once. (t-9)(t+9)(t+5)

OpenStudy (anonymous):

so the lcm would then be 9 and 5 right?

OpenStudy (saifoo.khan):

NO! since it is a polynomial, so LCM = (t-9)(t+9)(t+5)

OpenStudy (saifoo.khan):

getting it?

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