Question

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

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 \[(a+b)^3=1a^3+3a^2b^1+3a^1b^2+1b^3\]

Answer 2

Thank u so much!!! :)

Answer 3

Sure thing :)

Answer 4

Thank u so much!!! :)

Answer 5

Idk if i am asking too much but i got the concept but my answer is still wrong

Answer 6

So a=6x and b=5y
\[(6x+5y)^3=(6x)^3+3[(6x)^2(5y)]+3[(6x)(5y)^2]+(5y)^3\]
Just simplify that and you should get your answer.

Answer 7

Thank u so much!!! :)

Answer 8

thanks one more time

Answer 9

No problem. Let me know if you need any clarification.