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4. Identities
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Q1 of 95 Page 84

Mark four numbers forming a square in a calendar:


Add the squares of the diagonal pair and find the difference of these sums:


42 + 122 = 160


112 + 52 = 146


160 – 146 = 14


Do this for other four numbers.

Let the numbers be 6,7,13 and 14


the squares of the diagonal are


62 and 142


72 and 132


Add the squares of the diagonal pair


62 + 142


= 36+196


= 232


72 + 132


= 49+ 169


= 218


find the difference of these sums:


232 - 218


=14


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4

Compute the following differences:

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1

Mark four numbers forming a square in a calendar:


Add the squares of the diagonal pair and find the difference of these sums:


42 + 122 = 160


112 + 52 = 146


160 – 146 = 14


Do this for other four numbers.

1

Mark four numbers forming a square in a calendar:


Add the squares of the diagonal pair and find the difference of these sums:


42 + 122 = 160


112 + 52 = 146


160 – 146 = 14


Explain using algebra, why the difference is 14 always.

Questions · 95
4. Identities
1 1 1 1 1 1 2 2 2 2 2 2 3 3 4 4 1 1 1 2 2 2 2 2 2 3 3 4 4 5 5 1 1 1 1 1 1 1 1 2 2 3 3 3 3 1 1 1 1 1 1 1 1 1 1 1 1 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 1 1 1 1 2 2 2 2 3 3 3 3 1 1 1 1 1 1 1 1
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