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Take some pairs of numbers with the same sum and find their products. How does the product change with the differenceof the number? What is an easy method to find the largestproduct?(1) Mark four numbers forming a square in a calendar:451112Add the squares of the diagonal pair and find the difference of thesesums:372842 + 122 = 160 112 + 52 = 146 160 - 146 = 14i) Do this for other four numbersii) Explain using algebra, why the difference is 14 always.(2) Take nine numbers forming a square in a calendar and mark the fournumbers at the corners. |
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