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    evaluate (96)^3 using binomial theorem
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    (Original post by vhthebest)
    evaluate (96)^3 using binomial theorem
    God knows?

    Perhaps (100-4)^3 = (100^3) - (3)(100^2)(4) + (3)(100)(4^2)-(4^3)
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    (Original post by vhthebest)
    evaluate (96)^3 using binomial theorem
    Is this part b of a question
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    The whole question is:
    using binomial Theorem evaluate:
    a) (96)^3
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    Mr. M
    please explain
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    (Original post by vhthebest)
    Mr. M
    please explain
    Hopefully you can expand (a-b)^3 ?

    Now let a=100 and b=4 as shown and you can easily evaluate 96^3.
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    thanks
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    Alternatively expand (1-x)^3 if that is the form of Binomial Theorem you are supposed to use.

    96^3 = 100^3 (1-0.04)^3
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    (Original post by vhthebest)
    evaluate (96)^3 using binomial theorem
    Why one would want to use Binomial is beyond me, but here

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    (Original post by steve2005)
    ...
    I make it 884736
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    (Original post by ghostwalker)
    I make it 884736

    Would you believe me if I said I included a deliberate mistake?

    Actually , I used my computer to work out the bracket and failed to notice the absence of a six.

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    (Original post by ghostwalker)
    I make it 884736
    Karma for posting a full solution.
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    Surely there's some background information here? Did they ask you to expand something beforehand?

    Here's a snippet of Pascal's triangle (rows go from n = 0 at the top and k = 0 from the left of the row. Alternatively, you can use this equation Name:  cf53c9e57be2cdfe572da491e078d9ff.png
Views: 77
Size:  418 Bytes):

    Name:  250px-Pascal's_triangle_5.svg.png
Views: 45
Size:  3.8 KB

    So the expansion of (a + b)^3 is,
    Click image for larger version. 

Name:	eqn.png 
Views:	129 
Size:	2.5 KB 
ID:	189992

    for a and b to equate to 96,
    a = 96 and b = -4

    Insert these values accordingly and..
    Click image for larger version. 

Name:	eqn.png 
Views:	78 
Size:	4.7 KB 
ID:	189994
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    (Original post by Conros)
    for a and b to equate to 96,
    a = 96 and b = -4
    And there's your karma.
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    (Original post by ghostwalker)
    And there's your karma.
    Damn you
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    (Original post by Conros)
    Damn you
 
 
 
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