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Help.! One Question.! LCD Common Denominator. What is the Lcd of a^2 and a+1. I came up...
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High School Teacher
Best answer as selected by question asker.
To find the LCD, factor the denominators.
For the first denominator` (a^2)` , its factor is `a*a` . While the second denominator `(a+1)` is not factorable since the two terms has no GCF.
Since they have no common factor, the LCD is the product of these two denominators.
Hence, the LCD is a^2(a+1).
Distributing `a^2` to `a+1` , the LCD can also be express as:
`a^2(a+1)=a^2*a + a^2*1 = a^3+a^2`
`:.` LCD of `a^2` and `a+1` is `a^2(a+1)` . Can be written too as `a^3+a^2` .
Posted by mjripalda on January 30, 2013 at 4:31 AM (Answer #1)
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