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Can I have some help, please?

Can I have some help, please?-example-1
User Jajuan
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1 Answer

13 votes
13 votes

Answer:


-3(t+1)(8t-3)

Explanation:

First, factor both the denominators completely:


9-24t\\= 3(3-8t)\\= 3(-8t+3)\\= -3(8t-3)


8t^2+5t-3\\= 8t^2+8t-3t-3\\= 8t(t+1)-3(t+1)\\= (8t-3)(t+1)

Now, we can see that the factors of the first denominator are -3 and 8t-3.

The factors of the second denominator are t+1 and 8t-3.

To find the LCD, multiply all of these factors together:


-3(t+1)(8t-3)

Notice how we only multiply 8t-3 in the equation once. This is because it was present in both denominators, unlike the other factors.

I hope this helps!

User Manu Obre
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