What is an efficient way to compute 47^2–37^2 without using raw calculations?

(47+37)(47-37)

Step-by-step explanation:

47^2-37^2 is a difference of two squares. a^2-b^2 = (a+b)(a-b) so this expression can be factored to (47+37)(47-37) = (84)(10) = 840

points are handed out whenever you post answers.

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the lesson to learn here is that you shouldn't worry about points or rank. chances are, no matter how good an answer you may provide, your efforts will go mostly unnoticed unless you focus on the newest/most active questions that get posted.