Q2 of 95 Page 79

Look at this pattern:


Explain the general principal using algebra.

we can write it as +

Using identity = + - 2


and = + + 2


= 1+- 1 + 1++1


= 2 +


=


Similarly, we can do it for other numbers.


More from this chapter

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1

Compute the squares of these numbers.

9.25

 2

Look at this pattern:


Explain the general principal using algebra.

 3

Some natural numbers can be written as a difference of two perfect squares in two ways. For example.

24 = 72 – 52 = 52 – 12


32 = 92 – 72 = 62 – 22


40 = 112 – 92 = 72 – 32


Explain using algebra, the method of writing all multiples of 8, starting with 24 as the difference of two perfect squares in two ways.

 3

Some natural numbers can be written as a difference of two perfect squares in two ways. For example.

24 = 72 – 52 = 52 – 12


32 = 92 – 72 = 62 – 22


40 = 112 – 92 = 72 – 32


Explain using algebra, the method of writing all multiples of 8, starting with 24 as the difference of two perfect squares in two ways.