Question

Need help
Divide
(x^2+5x+4)÷(x+2)
^= to the second

Answer 1

Explanation:

`(x^2+5x+4)/(x+2)^2=(x^2+4x+4+x)/(x+2)^2\\\\=(x^2+2(x)(2)+2^2+x)/(x+2)^2\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\=\bigg((x+2)^2+x\bigg)/(x+2)^2=((x+2)^2+x)/((x+2)^2)=((x+2)^2)/((x+2)^2)+(x)/((x+2)^2)\\\\=1+(x)/((x+2)^2)`