Question

Divide and simplify x^2+7x+12 over x+3 divided by x-1 over x+4

Answer 1

`(x^2+8x+16)/(x-1)`

Explanation:

In general, "over" and "divided by" are used to mean the same thing. Parentheses are helpful when you want to show fractions divided by fractions. Here, we will assume you intend ...

`(\left((x^2+7x+12)/(x+3)\right))/(\left((x-1)/(x+4)\right))=((x+3)(x+4))/(x+3)\cdot(x+4)/(x-1)=((x+4)^2)/(x-1)\\\\=\boxed{(x^2+8x+16)/(x-1)}`