Adding/Subtracting Rational Expressions w Unlike Denominator

Quadratic equations and inequalities, variation equations, function notation, systems of equations, etc.
onmyown
Posts: 18
Joined: Fri Dec 17, 2010 10:16 pm
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Adding/Subtracting Rational Expressions w Unlike Denominator

Postby onmyown » Fri May 13, 2011 9:54 pm

Hi, Can someone please show me how this problem is solved:
Image

Here is one of my attempts:
First, I found LCD, so I can subtract the two expressions. I did so by multiplying (m-6) to (m^2-36) and (m^2-36) to (m-6) in the denominators. I also multiplied the numerators of each fraction by the same binomial their denominators were multiplied by in order to get to the LCD.
= Image
Second, I simplified each numerator and combined the two expressions into one, with the LCD as the denominator.
= Image
Third, I simplified the numerator of the expression.
= Image

However, this is not the solution. The correct answer is actually: Image
Can someone please explain to me how to solve this problem?

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Martingale
Posts: 350
Joined: Mon Mar 30, 2009 1:30 pm
Location: USA
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Re: Adding/Subtracting Rational Expressions w Unlike Denomin

Postby Martingale » Fri May 13, 2011 10:03 pm

onmyown wrote:Hi, Can someone please show me how this problem is solved:
Image

Here is one of my attempts:
First, I found LCD, so I can subtract the two expressions. I did so by multiplying (m-6) to (m^2-36) and (m^2-36) to (m-6) in the denominators. I also multiplied the numerators of each fraction by the same binomial their denominators were multiplied by in order to get to the LCD.
= Image
Second, I simplified each numerator and combined the two expressions into one, with the LCD as the denominator.
= Image
Third, I simplified the numerator of the expression.
= Image

However, this is not the solution. The correct answer is actually: Image
Can someone please explain to me how to solve this problem?















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