Final answer:
To rewrite the original expression using the distributive property, one must clear up typographical errors and identify the common factors to distribute them correctly. However, the given expression is unclear and seems to contain typos, making it difficult to apply the distributive property directly to it.
Step-by-step explanation:
To use the distributive property to rewrite the expression as a multiple of a sum of two numbers with no common factor, we should identify the common multiples and distribute them properly. The distributive property states that for any numbers a, b, and c, the equation a(b + c) is equal to ab + ac. We want to factor out common factors and write the sum as a product of a multiplier and a sum where the summands have no common factors.
Unfortunately, the provided sequence "33 + 3030×(11+10)3×(33+30)33×(30+10)3×(11+10)" contains typos and is unclear, as it appears to be a series of expressions concatenated together without clear delimitation. If we organized it properly, we would be able to apply the distributive property, factor out common factors, and rewrite the expression.