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Published byClinton Gray Modified over 8 years ago
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A REFLECTION ON BINOMIAL EXPANSION – BY: ABDULLA AL JAIDAH
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BINOMIAL EXPRESSION TO FIND THE SQUARE OF TWO NUMBERS
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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.
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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 ---------------- 2025
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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.
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When we do multiplication of large numbers this method is very difficult. Hence we have to o for long multiplication.
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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.
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Decimals multiplication will be too tough when there is a large number of decimals to multiply…..so that case algebra multiplication is time wasting.
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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.
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