Question

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Answer 1

$\dfrac{5x + 50}{x+5} \ \ \centerdot \ \ \dfrac{1}{x +10 }$

$= \dfrac{5(x + 10)}{x+5} \ \ \centerdot \ \ \dfrac{1}{x +10 }$

$= \dfrac{5}{x+5}$

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$\bold {\text {Answer : }\dfrac{5}{x+5}}$

Answer 2

First factor 5x + 50

5x + 50 = 5(x + 10)

(5(x + 10))/(x + 5) x (1)/(x + 10)

Simplify. Note that there is a x + 10 in both numerator and denominator. Cancel them out

(5(x + 10))/(x + 5) x 1/(x + 10)

5/(x + 5) x 1/1

Simplify.

5 x 1 = 5

(x + 5) x 1 = x + 5

5/(x + 5) or (B) is your answer

hope this helps