radkanoa25
radkanoa25 radkanoa25
  • 07-10-2018
  • Mathematics
contestada

True or False: For any two integers a and b, (a-b)^2 = a^2-b^2

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joaobezerra joaobezerra
  • 10-09-2021

Expanding the expression, it is found that the statement is false.

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  • The statement given is: [tex](a - b)^2 = a^2 - b^2[/tex]
  • Expanding the left side, we get:

[tex](a - b)^2 = (a - b)(a - b) = a^2 - ab - ab + b^2 = a^2 - 2ab + b^2[/tex]

  • Which is different than the statement, and thus, the statement is false.
  • The expression is also known as a notable product, the perfect square binomial.

A similar problem is given by: https://brainly.com/question/17202374

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