Simplify: 5x+50/x+5 • 1/x+10

[tex]\bf \cfrac{5x+50}{x+5}\cdot \cfrac{1}{x+10}\implies \cfrac{5~~\begin{matrix} (x+10) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{x+5}\cdot \cfrac{1}{~~\begin{matrix} x+10 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\implies \cfrac{5}{x+5}[/tex]
Answer:
The correct answer option is C. [tex] \frac { 5 } { x + 5 } [/tex].
Step-by-step explanation:
We are given the following expression and we are to simplify it:
[tex] \frac { 5 x + 5 0 } { x + 5 } . \frac { 1 } { x + 1 0 } [/tex]
We would take the common terms out and then cancel any like terms present in the expression to get the simplest form.
[tex] \frac { 5 ( x + 1 0 ) } { x + 5 } . \frac { 1 } { x + 1 0 } [/tex]
[tex] \frac { 5 } { x + 5 } [/tex]
Therefore, the correct answer option is C. [tex] \frac { 5 } { x + 5 } [/tex].