Question

What is the answer, and what are the steps to get to said answer

Answer 1

Option D

Explanation:

`((5x+15)-17)/(x+3)\\\\\implies (5(x+3)-17)/(x+3) \\\\\implies (5(x+3))/(x+3) - (17)/(x+3) \\\\\implies 5 - (17)/(x+3)`

Answer 2

`\textsf{D)} \quad 5-(17)/(x+3)`

Explanation:

To find which expression is equivalent to the given expression, begin by adding 15 and subtracting 15 from the numerator:

`(5x+15-2-15)/(x+3)`

Factor out 5 from (5x + 15) in the numerator, and subtract the numbers -2 and -15:

`(5(x+3)-17)/(x+3)`

`\textsf{Apply the fraction rule} \quad (a+b)/(c)=(a)/(c)+(b)/(c):`

`(5(x+3))/(x+3)-(17)/(x+3)`

Factor out the common term (x + 3) from the first fraction:

`5-(17)/(x+3)`

Therefore, the equivalent expression is:

`\large\boxed{5-(17)/(x+3)}`