MHB Simplify and state any restrictions on the variables.

[eleventhxhour]

Simplify and state any restrictions on the variables:

$$\frac{2(x+1)}{3} ⋅ \frac{x-1}{6(x+1)} $$

This is what I did, which is wrong (according to the textbook).

$$\frac{2}{3} ⋅ \frac{x-1}{6}$$

$$\frac{2x-2}{18}$$

$$\frac{2(x-1)}{18}$$

Can someone tell me what I've done wrong? Also, how would you find the restrictions?

Thanks.

 

[MarkFL]

It appears that you simply did not simplify fully...what is:

$$\frac{2}{18}$$

fully reduced?

In the original expression, what value of $x$ will cause division by zero?

 

[eleventhxhour]

Ohh, I see. That was a simple mistake.
Thanks!
And the restriction would be -1.