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- Freshman's_dream abstract "The freshman's dream is a name sometimes given to the error (x + y)n = xn + yn, where n is a real number (usually a positive integer greater than 1). Beginning students commonly make this error in computing the power of a sum of real numbers. When n = 2, it is easy to see why this is incorrect: (x + y)2 can be correctly computed as x2 + 2xy + y2 using distributivity (or commonly known as the FOIL method). For larger positive integer values of n, the correct result is given by the binomial theorem.The name "freshman's dream" also sometimes refers to the theorem that says that for a prime number p, if x and y are members of a commutative ring of characteristic p, then (x + y)p = xp + yp. In this case, the "mistake" actually gives the correct result, due to p dividing all the binomial coefficients save the first and the last.".
- Freshman's_dream thumbnail Freshman's_Dream.svg?width=300.
- Freshman's_dream wikiPageID "17373539".
- Freshman's_dream wikiPageRevisionID "584664701".
- Freshman's_dream hasPhotoCollection Freshman's_dream.
- Freshman's_dream subject Category:Algebra.
- Freshman's_dream subject Category:Mathematics_education.
- Freshman's_dream comment "The freshman's dream is a name sometimes given to the error (x + y)n = xn + yn, where n is a real number (usually a positive integer greater than 1). Beginning students commonly make this error in computing the power of a sum of real numbers. When n = 2, it is easy to see why this is incorrect: (x + y)2 can be correctly computed as x2 + 2xy + y2 using distributivity (or commonly known as the FOIL method).".
- Freshman's_dream label "Freshman's dream".
- Freshman's_dream label "حلم الطالب المبتدئ".
- Freshman's_dream sameAs m.043l5gt.
- Freshman's_dream sameAs Q4120528.
- Freshman's_dream sameAs Q4120528.
- Freshman's_dream wasDerivedFrom Freshman's_dream?oldid=584664701.
- Freshman's_dream depiction Freshman's_Dream.svg.
- Freshman's_dream isPrimaryTopicOf Freshman's_dream.
