Question

What is x^2 +2x+1 divides by x-4

Answer 1

`((x+1 )^(2) )/(x-4)`

Explanation:

Step 1. Rewrite
`x^(2)` + 2x + 1 in the form
`a^(2)` + 2ab +
`b^(2)`, where a = x and b = 1.

`(x^(2)+2(x)(1)+1^(2) )/(x-4)`

Step 2. Use Square of Sum:
`(a + b)^(2)` =
`a^(2)` + 2ab +
`b^(2)`

`((x+1 )^(2) )/(x-4)`