G

#### Guest

##### Guest

__ ____

t-2 t^2-4

I only go this far:

t - 8

___ ________

t-2 (t+4) (t-2)

Where do I go from here? As usual I am confused. :shock:

G

__ ____

t-2 t^2-4

I only go this far:

t - 8

___ ________

t-2 (t+4) (t-2)

Where do I go from here? As usual I am confused. :shock:

- Joined
- Dec 11, 2004

- Messages
- 199

Code:

```
t - 8
__ _____
t-2 t²-4
```

Note: The factoring that you showed is wrong.

t² - 4 does NOT equal (t+4)(t-2)

If you are ever wondering if you have factored it properly, check!

(t+4)(t-2) = t² + 4t - 2t - 8

................= t² + 2t - 8

The proper factoring of t² - 4 is (t+2)(t-2).

Check if you wish to prove it to yourself.

Code:

```
t - 8
__ _________
t-2 (t+2)(t-2)
```

So what you must do now is multiply the first term by (t+2)/(t+2)

Note: Keep in mind that you are technically multiplying by 1, so you aren't really changing the term.

Code:

```
t(t+2) - 8
________ ________
(t-2)(t+2) (t+2)(t-2)
```

G

I will try!

Code:

```
t(t+2) - 8
________ ________
(t-2)(t+2) (t+2)(t-2)
```

How you doing with that one, mom?

First, CL's equation above is (simplified):

t(t + 2) - 8

========

(t + 2)(t - 2)

complete the numerator:

t^2 + 2t - 8

========

(t + 2)(t - 2)

now factor the critter:

(t + 4)(t - 2)

========

(t + 2)(t - 2)

shoot them (t - 2)'s:

t + 4

====

t + 2

You also got that, right?

G

I finally got it! With your help I figured it out ! Thanks so much. I am a crazy mom! At least that is what my son calls me :?: