Question 657070
<pre>
The square of a SUM does not equal to the SUM of the squares.

(a + b)² &#8800; a² + b²

(2 + 3)² &#8800; 2² + 3²

    (5)² &#8800; 4 + 9

      25 &#8800; 13

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(a + b)² &#8800; a² + b²

(4 + 7)² &#8800; 4² + 7²

     11² &#8800; 16 + 49

     121 &#8800; 65

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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

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  (a·b)² = a²·b²

  (4·7)² = 4²·7²

   (28)² = 16·49

     784 = 784

Edwin</pre>