What is the difference start fraction r plus 2 over r plus 4 end fraction minus start fraction 3 over r plus 1 end fraction ?

Question

(1 point)
Responses

start fraction negative 1 over r plus 3 end fraction
Image with alt text: start fraction negative 1 over r plus 3 end fraction

start fraction r superscript 2 baseline minus 1 over left parenthesis r plus 1 right parenthesis left parenthesis r plus 4 right parenthesis end fraction
Image with alt text: start fraction r superscript 2 baseline minus 1 over left parenthesis r plus 1 right parenthesis left parenthesis r plus 4 right parenthesis end fraction

start fraction r superscript 2 baseline minus 10 over left parenthesis r plus 1 right parenthesis left parenthesis r plus 4 right parenthesis end fraction
Image with alt text: start fraction r superscript 2 baseline minus 10 over left parenthesis r plus 1 right parenthesis left parenthesis r plus 4 right parenthesis end fraction

start fraction r superscript 2 baseline plus 14 over left parenthesis r plus 1 right parenthesis left parenthesis r plus 4 right parenthesis end fraction

Answer

Answer 1

start fraction r superscript 2 baseline plus 14 over left parenthesis r plus 1 right parenthesis left parenthesis r plus 4 right parenthesis end fraction

Answer 2

wrong again
(r+2)/(r+4) - 3/(r+1) = (r^2-10)/((r+4)(r+1))

Answer 3

Apologies for the mistake. Thank you for providing the correct answer.

The correct difference is start fraction r squared minus 10 over left parenthesis r plus 4 right parenthesis left parenthesis r plus 1 right parenthesis end fraction.