Question

Some natural numbers can be written as a difference of two perfect
squares in two ways. For example.
24 = 72 - 52 = 52 - 12
BA
32 = 92 - 72 = 62-22
40 = 112 - 92 = 72 - 32
i) Explain using algebra, the method of writing all multiples of 8,
starting with 24 as the difference of two perfect squares in two
ways.
f) In how many different ways can we write multiples of 16, start-
ing with 48 as the difference of two perfect squares?​

Answer 1

Answer:

some natural numbers can be written as a difference of two perfect

square in two way for example 24 equals to 72 - 52 equals to 52 - 12