[Part 1 (4 points)] Show all work in simplifying the following expression. Be sure to list restrictions.
[Part 2 (2 points)] Use complete sentences to explain your process.

Question

[Part 1 (4 points)] Show all work in simplifying  the following expression. Be sure to list restrictions. 
[Part 2 (2 points)] Use complete sentences to explain your process.

anonymous · Answer

$$(2x ^{2}+8x-42)\div(x ^{2}+12x+35)$$

akashdeepdeb · Answer

All you need to do here is factorize the numerator and the denominator! :)
Split the middle term use FOIL! :D

anonymous · Answer

@satellite73 @Hero @nincompoop

hero · Answer

1. Factor the numerator and the denominator

$$\frac{2(x + 7)(x - 3)}{(x+7)(x + 5)}$$

2. Cancel factors of one:

$$\frac{2\cancel{(x + 7)}(x - 3)}{\cancel{(x+7)}(x + 5)}$$

3. Then write the simplified result
$$\frac{2(x-3)}{x+5}$$

hero · Answer

Don't forget to list the restrictions.