Question

Write the expression as a simplified rational expression. Show your work.

Answer 1

Simplify the given expression as shown below

`(5)/((1)/(6)+(1)/(x+1))=(5)/((x+1+6)/(6(x+1)))=(5)/((x+7)/(6(x+1)))=(5*6(x+1))/(x+7)=(30(x+1))/(x+7)=(30x+30)/(x+7)`

Therefore, the simplified form of the expression is 30(x+1)/(x+7), while the expanded form is (30x+30)/(x+7)