Question

Write h/h+4+2 as a rational expression

Answer 1

,

A rational expression is a fraction in which the numerator and/or the denominator are polynomials in this case we have

`(h)/(h+4)+2`

then need to have only one expression

`(h)/(h+4)+(2)/(1)`

In order to sum fractions we need to have the same denominator

`(h+2(h+4))/(h+4)`

then we simplify the expression

`(h+2h+8)/(h+4)`

we sum like terms and we obtain the rational expression

`(3h+8)/(h+4)`