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(3x + 5y)^5

Rewrite the following expression in expanded form and simplify completely.

User CarlosPinedaT
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1 Answer

14 votes
14 votes

Answer: 243x^5 + 2025x^4y + 6750x^3y^2 + 11250x^2y^3 + 9375xy^4 + 3125y^5

Explanation:

1. To find each term, use BINOMIAL EXPANSION THEOREM (best to look up theorem on your own).

2. Expand the summation (after finding each term).

3. Simplify the exponents for each term.

> 1 • (3x)^5 • (5y)^0 + 5 • (3x)^4 • (5y)^1 + . . . + 1 • (3x)^0 • (5y)^5

4. Simplify.

User Auras
by
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