Question

Simplify: 5x+50/x+5 • 1/x+10

Answer 1

`\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}`

Answer 2

The correct answer option is C.
`\frac { 5 } { x + 5 }`.

Explanation:

We are given the following expression and we are to simplify it:

`\frac { 5 x + 5 0 } { x + 5 } . \frac { 1 } { x + 1 0 }`

We would take the common terms out and then cancel any like terms present in the expression to get the simplest form.

`\frac { 5 ( x + 1 0 ) } { x + 5 } . \frac { 1 } { x + 1 0 }`

`\frac { 5 } { x + 5 }`

Therefore, the correct answer option is C.
`\frac { 5 } { x + 5 }`.