SOLUTION: when solving -x2+2x+1=y when x is -1, would it be -1 + -2 +1= y or 1 + -2 + 1=y?

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Question 717520: when solving -x2+2x+1=y when x is -1, would it be -1 + -2 +1= y or 1 + -2 + 1=y?
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
Your question, in simpler terms, is: What is -x%5E2 when x = -1?

The answer requires that we understand a fundamental fact about exponents: Exponents apply only to what is immediately in front of them. ("Immediately in front" means literally "the very first character to the left of"
  • If a digit (0-9) is immediately in front of the exponent, the exponent applies only to the number which that digit is the last/only digit. Important: If there is a "-" in front of this number, the exponent does not apply to it! For example:
    -10%5E2 means -(10*10) which equals -100 (not (-10)(-10) which equals 100.
  • If a variable is immediately in front of an exponent, the exponent applies only to that variable, not to any other variables or numbers which may precede that variable. For example, 24xy%5E3 means 24*x*y*y*y.
  • If a end-of-a-group symbol (like "}" or "]" or "}") is immediately in front of an exponent, it applies to the entire grouped expression. For example, %28x%5E2-4x%2B3%29%5E3 means %28x%5E2-4x%2B3%29%2A%28x%5E2-4x%2B3%29%2A%28x%5E2-4x%2B3%29 but x%5E2-4x%2B3%5E3 means just x%5E2-4x%2B3%2A3%2A3
The way exponents work like this is another reason it is a good idea to use parentheses when making substitutions. If you substitute a -1 into x%5E2 with parentheses you get:
%28-1%29%5E2+=+%28-1%29%2A%28-1%29+=+1
Without the parentheses we would have:
-1%5E2+=+-1%2A1+=+-1

Finally we'll answer your question, if you haven't figured it out already. -x%5E2 when x = -1:
-%28-1%29%5E2+=+-%28-1%29%2A%28-1%29+=+-1