Freshman's dream
id:
freshman-s-dream-253-12334412
title:
Freshman's dream
text:
The freshman's dream is a name given to the erroneous equation ( x + y ) n = x n + y n , where n is a real number (usually a positive integer greater than 1) and x , y are non-zero real numbers. Beginning students commonly make this error in computing the power of a sum of real numbers, falsely assuming powers distribute over sums. 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 (commonly known by students in the Unite
brand slug:
wiki
category slug:
encyclopedia
description:
Mathematical fallacy
original url:
https://en.wikipedia.org/wiki/Freshman%27s_dream
date created:
date modified:
2024-04-11T16:10:50Z
main entity:
{"identifier":"Q4120528","url":"https://www.wikidata.org/entity/Q4120528"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/f/f0/Freshman%27s_Dream.svg","width":300,"height":300}
fields total:
13
integrity:
15