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simplify this:

simplify: (4-√3)^2
 
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2 Answers

(a-b)2=(a)2-2(a)(b)+(b)2
 
(4-√3)2= (4)2-2(4)(√3)+(√3)2
           =16-8√3+3
           =19-8√3
Use PEMDAS.  What's in the Parentheses cannot be combined in this case, because they are not like terms.  So, execute the Exponent.  Squaring yields 16 - 8√3 + 3.  No Multiply or Divide, so it's time to Add or Subtract.  Final answer: 19 - 8√3
 
Follow PEMDAS forward every time to simplify, and in reverse to SOLVE and you will be delivered safely through all of Algebra!  :)