Question

What is the simplified form of the quantity of x plus 3, all over 4 + the quantity of x plus 2, all over 4 ? (2 points) the quantity of 2x plus 5, all over 4 the quantity of x squared plus 5x plus 6, all over 4 the quantity of x squared plus 5x plus 6, all over 16 the quantity of x plus 3, all over the quantity x plus 2

Answer 1

ANSWER


`(2x + 5)/(4)`

Step-by-step explanation

We want to simplify


`(x + 3)/(4) + (x + 2)/(4)`

The fractions have the same denominator so we write one denominator and add the numerators to obtain,


`(x + 3 + x + 2)/(4)`

Regroup in the denominator to get,


`(x + x + 3 + 2)/(4)`

This simplifies to;


`(2x + 5)/(4)`