Explain, in complete sentences, how you would expand (6x + 5y) 3 using Pascal's Triangle.

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Mathematics

Zane Goodwin

7 February, 04:21

Explain, in complete sentences, how you would expand (6x + 5y) 3 using Pascal's Triangle.

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Deandre Mosley · Answer 1

The coefficients of a binomial expansion are the same as the nth line of Pascal's Triangle. For example, the "third" line of Pascal's Triangle is 1 3 3 1. We also have (a+b) ^3 = 1 a^3 + 3 a^2 b^1 + 3 a^1 b^2 + 1 b^3