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4. Identities
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Q1 of 95 Page 74

Is there a general method to compute the squares of numbers like Explain it using algebra.

we can write generally as .


So, to find the square we have to calculate


using, (x+y)2 = x2 + 2xy + y2





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4

Shown below is a method to the product 46× 28.


i) Check this method for some other two-digit numbers.


ii) Explain why this is correct, using algebra. (Recall that any two-digit number can be written 10m + n, as seen in the section, Two-digit numbers of the lesson, Numbers and Algebra, in the class 7 textbook).

1

Write number like this:


As in the calendar; mark four numbers in a square and find the difference of diagonal products. Is it the same for all squares of four numbers?

1

Is there a general method to compute the squares of numbers like Explain it using algebra.

2

Given below is a method to calculate 372?


Check this for some more two-digit numbers.

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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