Mathematics
Grade10
Easy

Question

Use the square of a binomial to find the product. 56 squared

  1. 3136
  2. 3546
  3. 3466
  4. 3246

The correct answer is: 3136


    Using the pattern left parenthesis a plus b right parenthesis squared equals a squared plus 2 a b plus b squared
    56 squared equals left parenthesis 60 – 4 right parenthesis squared equals left parenthesis 60 plus left parenthesis negative 4 right parenthesis right parenthesis squared
equals 60 squared plus 2 asterisk times 60 asterisk times left parenthesis negative 4 right parenthesis plus left parenthesis negative 4 right parenthesis squared equals 3600 – 480 plus 16 equals 3136

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