Question

Which expression is equivalent to one over threep + 15? one over three(p + 45) one over three(p + 5) 3(p + 45) 3(p + 5)

Answer 1

`\large\boxed{(1)/(3p+15)=(1)/(3(p+5))}`

Explanation:

"one over threep + 15":

`(1)/(3p+15)=(1)/((3)(p)+(3)(5))=(1)/((3)(p+5))=(1)/(3(p+5))`

Answer 2

`(1)/(3(p+5))`.

Explanation:

We are asked to find equivalent expression to the expression
`(1)/(3p+15)`.

We can see that terms in denominator of our given rational expression share a common factor. The common factor is 3.

Let us factor out 3 from denominator:

`(1)/(3*p+3*5)`

`(1)/(3(p+5))`

Therefore, the expression
`(1)/(3(p+5))` is equivalent to our given expression.