A REFLECTION ON BINOMIAL EXPANSION – BY: ABDULLA AL JAIDAH.

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Presentation transcript:

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

If we use the formula ( a + b )2=a2 + 2ab + b2 we get it as follows ( )2= =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 with by using algebra method we get ( )2 …..here we can only do long multiplication as per the instruction.