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Question

Consider the difference of squares a² - b², for integer values of a and b. Part A Make a table of the difference of squares using consecutive integers for a and b. What pattern do you notice? Part B Use the pattern from Part A to find pair of consecutive integers that generates a difference of squares of -45. Part C Make a table of the difference of squares using consecutive even integers for a and b. What pattern do you notice? Part D Use the pattern from Part C to find a pair of consecutive even integers that generates a difference of squares of -100.

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Step 1

1 of 3A possible table is as shown:

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