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QWhat is the difference between the squares of two numbers whose sum is 73 and whose difference is 28?
ID: #4468
Numbers
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In this case, let x and y be the two given numbers. We are given that the sum of x and y is 73 and that their difference is 28. We can express these two pieces of information as equations:
(x + y) = 73
(x - y) = 28
Using the difference of squares formula, we can now find the difference between the squares of x and y:
(x^2 - y^2) = (x + y)(x - y)
= 73 * 28
= 2044
Therefore, the difference between the squares of x and y is 2044
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