Question

(1) Mark four numbers forming a square in a calendar.Add the squares of the diagonal pair and find the difference of these.Do this for other four numbers. Explain using algebra, why the difference is 14 always.​

Answer 1

Answer:

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Answer 2

Answer:

We are going to find prime factors of 1575

1575=3×525

         =3×3×175

         =3×3×5×35

         =3×3×5×5×7

Now, we are going to make a group of equal number.

         =(3×3)×(5×5)×7

By observation, 7 prime factor is left out.

So, divide by 7 we get,

1575÷7= (3×3)×(5×5)

                 =(3×5)×(3×5)

                 =(15)×(15)

 ⇒  225=(15)2