Hello
reader, seems like I’ve made some mathematical ‘discovery’. Here:
Assume any number x. The square of x is
equal to the product of the difference between x and 1 and the sum of x and 1,
all plus 1.
x^2=(x-1)(X+1)+1 for all x
See,
this is actually easy because the terms in brackets will actually multiply out
to become a difference of two squares, viz.:
, which when you add 1 to simplifies to
. But I never saw it this way, until I began
to prepare for my exams on Control Engineering and was multiplying numbers like
7 and 9 and was getting 64(
) as the answer. I quickly checked for
other numbers and the ‘theory’ still stood tall, so I ‘propounded’ it above.
Of
course ‘mathematicians’ must have known this long ago, but I didn’t know. (I’m
not a mathematician anyway.) Or I knew but didn’t understand, whatever that
means. But I’m happy I discovered this myself and didn’t read it anywhere, and
I admire my observance. Thank you for reading.
Nsukka, 02/07/16.