Subject: Completing the Square.
the question: how do you complete a square? the textbook question is: x 4 + 64Hi Lexa,
Completing a square involves seeing a pattern in an algebraic expression. The pattern is on the right hand side of the expression
The pattern I see is in the relationship between the coefficient of y, 2a, and the constant term a 2. To make this match your expression first y = x 2 so that y 2 = (x 2) 2 = x 4. Second you have a 2 = 64 so a = 8 and hence 2a = 16. Thus to complete the square with x 4 + 64, add 16 x 2 to get