What is Binomial Theoram.. What is its use in real life?

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Binomial theorem is useful method in expanding the power (a+b)^n in to the sums. It is useful in nations economic prediction.Economists used binomial theorem to count probabilities that depend on numerous and very distributed variables to predict the way the economy will behave in the next few years...
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It is very useful in life and helps in quick calculation.
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I can teach conceptual mathematics

Weather forcast. and also something like cancer cell reproduction rate ..
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it uses expand the power (x + y)n into a sum To indicate the formula for the derivative of order n of the product of two functions
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(x+y)^n = c(n,0) x^n+c(n ,1)x^(n-1)*y +c(n,2)x^(n-2)*y^2 +...............................+c(n,n)y^n finding squares and higher powers of any numbers
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(X + A ) and various powers of the same are given by binomial theorem. This theorem is useful to find out squares, cubes of any numbers very easily.
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What is value of a & b.. in each case,

If a^b + b^a=45

If a^b X b^a=45

If a^b - b^a=45

1^44+44^1=45 So, a=1 & b=44 1^45*45^1=45 So, a=1 & b=45 46^1-1^46=45 So, a=46 & b=1
Paras Boradia

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