We can write some natural numbers as the difference of two perfect squares in this way. Eg: Take the number 33

33 = 33×1

Let x+y=33 and x-y =1

we get,

x= 33+1/2 = 17 and y= 33-1/2 =16

{33 = 17²-16²}

If we choose

33 = 11×3

Let us take x+y=11 and x-y =3

x=11+3\2 = 7 and y= 11-3/2 =4

33=7²-4²

Using this, express the following numbers as the difference of two perfect squares.

a. 27
b. 47​