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(a+b)^2 = a^2 +2ab+b^2, algebraic formula
by lgbu
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#####(a+b)^2 = a^2 +2ab+b^2
It happens at all levels of mathematics with some students, who tend to think *(a+b)^2 = a^2 +b^2*. That is psychologically understandable but mathematically mistaken. Perhaps, it would be helpful for them to hold a physical (or visual) model for (a+b)^2 and ponder the meaning of the formula. Of course, there are other ways to explain *(a+b)^2 = a^2 +2ab+b^2*.
The board alone is enough; the component pieces just add another layer of manipulation.
It happens at all levels of mathematics with some students, who tend to think *(a+b)^2 = a^2 +b^2*. That is psychologically understandable but mathematically mistaken. Perhaps, it would be helpful for them to hold a physical (or visual) model for (a+b)^2 and ponder the meaning of the formula. Of course, there are other ways to explain *(a+b)^2 = a^2 +2ab+b^2*.
The board alone is enough; the component pieces just add another layer of manipulation.
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