Transcript BINOMIAL EXPANSION –REFLECTION

A REFLECTION ON
BINOMIAL
EXPANSION –
BY: ABDULLA AL JAIDAH
BINOMIAL
EXPRESSION TO
FIND THE SQUARE
OF TWO NUMBERS
An engineer who lives 100
years back must have used
a long multiplication
method rather than the
algebraic expression
method. If we want to make
a square playing field we
have to square the side .if
we know we can use the
algebraic method .
Consider the side of the
square field with length 45
m and by using long
multiplication we get the
area of the field as
45
x 45
----------225
180
----------------
If we use the formula
( a + b )2=a2 + 2ab + b2
we get it as follows
( 40 + 5 )2= 1600+400+25
=2025
here we find the formula as
much easy.
When we do
multiplication of large
numbers this method is
very difficult. Hence we
have to o for long
multiplication.
It is interesting to see
that when we want to find
the cube and fourth
power of a number this
binomial expression will
help us a lot.
Decimals multiplication
will be too tough when
there is a large number
of decimals to
multiply…..so that case
algebra multiplication is
time wasting.
Multiply 5.068 with 5.068
by using algebra method
we get
(5+0.068)2 …..here we can
only do long multiplication
as per the instruction.