One can use the Binomial Theorem or the Pascal Triangle to expand and equation such as (2x+3y)^4 without just multiplying it all out manually! However, as Miss V quietly states, Pascal's Triangle is the one that a person should use. With the Pascal's triangle method, you find the row according to the power of your equation. Then, you fill in the number after each constant starting with the highest power of the first term and descending and the lowest number of the second term and ascending after each term in your expansion. With the use of the Pascal's Triangle, one can also find the term that Combinations are trying to find by looking at the first number before the C for the row number and the number after the C for the term. However, you must subtract 1 to the term number to get the correct answer.
Here is a Pascal Triangle:
I like the Pascal's Triangle because it helps me when I do the problems. It is a much faster and simpler way of expanding binomial. I rather use pascal's triangle than do the binomial theorem. Why learn a theorem if the triangle has all the numbers all ready. Thank you for sharing how to do the pascal's triangle.
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