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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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Parker101 | Student, Undergraduate | (Level 3) eNoter

Posted January 30, 2013 at 4:00 AM via web

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Help.! One Question.! LCD Common Denominator.

What is the Lcd of a^2 and a+1.

I came up with a^2+1, but I Don't know if that's right.

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mjripalda | High School Teacher | (Level 1) Senior Educator

Posted January 30, 2013 at 4:31 AM (Answer #1)

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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`

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`:.` LCD of  `a^2`  and  `a+1`  is  `a^2(a+1)` . Can be written too as `a^3+a^2` .

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Parker101 | Student, Undergraduate | (Level 3) eNoter

Posted January 30, 2013 at 4:03 AM (Answer #2)

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I came up with a^2 +a. But I Don't know if that's actually right.

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