Transcript Reflection
Binomial Expansions By: Nicholas Roberto Description and Explanation Binomial Expressions can be used for any kind of multiplication problem. It is easiest to use it when it is either squared or cubed. It is also easier when you have a little more complex question. It is just a different method to find the product of a multiplication problem. The binomial theorem describes the algebraic expansions of powers and binomials. The following are two different examples of Binomial expansions. (a+b)2 = a2 + 2ab + b2 (a-b)2 = a2 - 2ab + b2 Engineer 100 Years Ago Our method would be useful because in that time they did not have calculators, well they did but not such complex calculators that do such intricate problems. They would have to do everything on pen and paper so this method would be useful because in long multiplication you have to keep adding and you could make a simple mistake that could ruin the entire equation. Benefits Binomial Expansions: Binomial expansions are better because you do not have to do such simple equations like 5+2. And on those you could make an simple, stupid mistake. It is also a method to keep your book, or whatever you may be writing on, very neat. Long Multiplication: Long division makes multiplying large numbers easier with out a calculator. Limitations Binomial Expansions: Binomial expansions starts to become less efficient when larger numbers are used, or very complex decimal points. Long Multiplication: Long multiplication is un-neat and can tend cause silly mistakes. When does Binomial Expansions become cumbersome? Binomial Expansions become a cumbersome when we encounter a very large number such as: 738292983742 or when we encounter a number with many decimal places such as: 79329.2324812 Long Multiplication is better when... Long multiplication is better when you have a decimal because it would be much simpler to do it with long multiplication because you would just have to do 78.5 x 2 instead of doing 80-1.5 Thank You Thank you for watching and reading this!