math m coursework.doc4
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Math M Course workTRANSCRIPT
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RESULTWhen a binomial expression such as (a+b ) is raised to the power of n where n is a small positive integer, a binomial expansion of the form (a+b)n is obtained such as follows:-
When n=0, (a+b )0=1
n=1, (a+b )1=a+b
n=2, (a+b )2=(a+b ) (a+b )
¿a2+ab+ab+b2
¿a2+2ab+b2
n=3, (a+b )3= (a+b )¿
¿ (a+b )(a2+2ab+b2)
¿a3+2a2b+ab2+a2b+2ab2+b3