Question

What is the simplified form of 4x plus 2 over x plus 5 minus the fraction 3x plus 1 over x plus 5?

Answer 1

`(x+1)/(x+5)`

Explanation:

We have the relation,

`(4x+2)/(x+5) - (3x+1)/(x+5)`

As the denominator of both terms is same, the terms in the numerators are directly added.

So, the simplified form is,

`((4x+2)-(3x+1))/(x+5)`

i.e.
`(x+1)/(x+5)`

Hence, the simplified form of the relation is
`(x+1)/(x+5)`.

Answer 2

we have that

[(4x+2)/(x+5)]-[(3x+1)/(x+5)]
They have common denominators, so just add the numerators like normal fractions:
=[(4x+2)-(3x+1)]/(x+5)
=[(4x+2-3x-1)]/(x+5)
=[(x+1)]/(x+5)

the answer is
(x+1)/(x+5)