SOLUTION: PLease help me simplify: r^2/r-s + s^2/s-r

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Question 107656This question is from textbook Intermediate Algebra
: PLease help me simplify:
r^2/r-s + s^2/s-r This question is from textbook Intermediate Algebra

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
r%5E2%2F%28r-s%29+%2B+s%5E2%2F%28s-r%29=r%5E2%2F%28r-s%29+%2B+s%5E2%2F%28-%28r-s%29%29Get the same denominator, (r-s).
r%5E2%2F%28r-s%29+%2B+s%5E2%2F%28s-r%29=r%5E2%2F%28r-s%29+%2B+%28-s%5E2%29%2F%28r-s%29
r%5E2%2F%28r-s%29+%2B+s%5E2%2F%28s-r%29=%28r%5E2-s%5E2%29%2F%28r-s%29Subtract numerators.
r%5E2%2F%28r-s%29+%2B+s%5E2%2F%28s-r%29=%28%28r%2Bs%29cross%28r-s%29%29%2Fcross%28r-s%29Factor the quadratic.
r%5E2%2F%28r-s%29+%2B+s%5E2%2F%28s-r%29=r%2Bs