Question

Simplify quantity x squared plus 5 x plus 4 end quantity over quantity x plus 4

x − 1
x + 1
x2 + 1
x2 − 1

Answer 1

x + 1

Explanation:

`(x^2+5x+4)/(x+4)\\\\x^2+5x+4=x^2+x+4x+4=x(x+1)+4(x+1)=(x+1)(x+4)\\\\=((x+1)(x+4))/(x+4)\qquad\text{cancel}\ (x+4)\\\\=x+1`

Answer 2

x + 1

Explanation:

`(x^2+5x+4)/(x+4)=((x+4)(x+1))/((x+4))=x+1`