SOLUTION: Explain (a + b)² ≠ a² + b²

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Question 657070: Explain (a + b)² ≠ a² + b²
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
The square of a SUM does not equal to the SUM of the squares.

(a + b)² ≠ a² + b²

(2 + 3)² ≠ 2² + 3²

    (5)² ≠ 4 + 9

      25 ≠ 13

-----------------------------

(a + b)² ≠ a² + b²

(4 + 7)² ≠ 4² + 7²

     11² ≠ 16 + 49

     121 ≠ 65

-----------------------------

However, the square of a PRODUCT does equal to the PRODUCT of the squares.
    

  (a·b)² = a²·b²

  (2·3)² = 2²·3²

    (6)² = 4·9

      36 = 36

------------------------------

  (a·b)² = a²·b²

  (4·7)² = 4²·7²

   (28)² = 16·49

     784 = 784

Edwin
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