Question

Help me!!! Please and thank you!!!

Answer 1

Answer:

Third option is correct: 1 / (t+4)^2

Step-by-step explanation:

This equation can be written as the following:

(t+3)/(t+4)*(1/t^2+7t+12)

We know this because of the division of fractions. For example:

(1/y)/(1/x) = (1/y)*(x/1)

Now that we know this, we can advance.

Now we have to try to factor (t^2+7t+12)

We can make this into (t+3)(t+4)

Ah! Perfect! There is a t+3 in the denominator of the first fraction!

We can now cancel these out.

Now our equation looks like this:

(1 / t+4) * (1 / t+4)

This can also be written as 1^2 / (t+4)^2 = 1 / (t+4) ^2

So the correct option is the third one.