# Multiply #r2+7r+10/3# by #3r-30/(r2)-5r-50#?

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To multiply (r^2 + 7r + 10)/3 by (3r - 30)/(r^2 - 5r - 50), we can follow these steps:

Step 1: Factorize the expressions: (r^2 + 7r + 10) can be factored as (r + 5)(r + 2) (3r - 30) can be factored as 3(r - 10) (r^2 - 5r - 50) can be factored as (r - 10)(r + 5)

Step 2: Simplify the expression: [(r + 5)(r + 2)/3] * [3(r - 10)/(r - 10)(r + 5)]

Step 3: Cancel out common factors: [(r + 5)(r + 2)/3] * [3(r - 10)/(r - 10)(r + 5)] = (r + 2)/(r - 10)

Therefore, the simplified expression is (r + 2)/(r - 10).

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