SOLUTION: Simplify {{{(9d)/(2d-6)+(9d)/(6d-18)}}}

Question 125837: Simplify

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression

Factor to get

Factor to get

Now let's find the LCM of the denominators and . It turns out that the LCM of these denominators is . So the goal is to get both denominators to the LCD

Multiply the 1st fraction by

Multiply the 1st pair of fractions

Notice how we have the common denominator . This means we can combine the fractions

Combine the fractions by adding the numerators and placing them over the denominator.

Combine like terms

Reduce (ie reduce the coefficients) to get 6

So simplifies to

In other words,
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