Question

What is the difference?

StartFraction x + 5 Over x + 2 EndFraction minus StartFraction x + 1 Over x squared + 2 x EndFraction

Answer 1

a on edge

Explanation:

Answer 2

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

Explanation:

Given

`(x+5)/(x+2)` -
`(x+1)/(x^2+2x)` ← factor denominator

=
`(x+5)/(x+2)` -
`(x+1)/(x(x+2))`

We require the fractions to have a common denominator.

Multiply numerator/denominator of first fraction by x

=
`(x(x+5))/(x(x+2))` -
`(x+1)/(x(x+2))`

Subtract terms on numerator leaving the common denominator

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

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