Please explain your answer.

Please explain your answer. class=

Verified Answer :

in the original problem flip the second half to do the multiplication

  1. Factor r^2+7r=10
    ((R+2)(r+5))/3=(3r-30)/(r^2-5r-50)

    2. Factor out the common term 3
    ((R+2)(r+5))/3=(3(r-10))/(r^2-5r-50)

    3. Factor r^2-5r-50
    ((R+2)(r+5))/3=(3(r-10))/((r-10)(r+5))

    4. Simplify
    ((R+2)(r+5)*3(r-10))/(3(r-10)(r+5))

    5. Regroup terms
    (3(r+2)(r+5)(r-10))/(3(r-10)(r+5))

    6. Cancel out (r-10)
    (3(r+2)(r+5))/(3(r+5))

    7. Cancel out 3 and (r+5)
    R+2

    Have a nice day