Question

Take some pairs of numbers with the same sum and find their
products. How does the product change with the difference
of the number? What is an easy method to find the largest
product?
(1) Mark four numbers forming a square in a calendar:
4
5
11
12
Add the squares of the diagonal pair and find the difference of these
sums:
3728
42 + 122 = 160 112 + 52 = 146 160 - 146 = 14
i) Do this for other four numbers
ii) Explain using algebra, why the difference is 14 always.
(2) Take nine numbers forming a square in a calendar and mark the four
numbers at the corners.​

Answer 1

Answer:

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