simplify this:

Question

simplify: (4-√3)^2

 

Answer 1

(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

Answer 2

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!  :)