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

Answer:

$\frac{x+1}{x+5}$

Step-by-step explanation:

We have the relation,

$\frac{4x+2}{x+5} - \frac{3x+1}{x+5}$

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

So, the simplified form is,

$\frac{(4x+2)-(3x+1)}{x+5}$

i.e. $\frac{x+1}{x+5}$

Hence, the simplified form of the relation is $\frac{x+1}{x+5}$.

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)