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

Answer:

$\frac{1}{3(p+5)}$.

Step-by-step explanation:

We are asked to find equivalent expression to the expression $\frac{1}{3p+15}$.

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:

$\frac{1}{3*p+3*5}$

$\frac{1}{3(p+5)}$

Therefore, the expression $\frac{1}{3(p+5)}$ is equivalent to our given expression.

Answer 2

Answer:

$\large\boxed{\dfrac{1}{3p+15}=\dfrac{1}{3(p+5)}}$

Step-by-step explanation:

"one over threep + 15":

$\dfrac{1}{3p+15}=\dfrac{1}{(3)(p)+(3)(5)}=\dfrac{1}{(3)(p+5)}=\dfrac{1}{3(p+5)}$