Consider the equation
a) On the left side of the equation we are performing two operations. What are these operations and what is their order?
b) What is the order of the operations performed on the right side of the equation?
c) Summarize what is wrong with this equation, as we did in Example.
Example
a) In the equation (x + y)2 = x2+ y2, the left side of the equation tells us to first add x and y and then square the resulting sum. The right side of the equation tells us to first square x and y separately and then add these two squares. To say this more succinctly, we can say that to ?first add and then square? is not the same as to “first square and then add.”
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