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Math Help - interesting ....exponents and powers

  1. #1
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    Smile interesting ....exponents and powers

    think................if ( a+b ) the whole square =a square + b square + 2ab
    THEN (a+b)the whole cube =?

    something else ..............................if you could get this,please explain.
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  2. #2
    Junior Member
    Joined
    Mar 2008
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    ^_^

    (a+b)^3=a^3+3a^2*b+3a*b^2+b^3
    the pattern of the coefficient:
    1
    1 2 1
    1 3 3 1
    1 4 6 4 1
    1 5 10 10 5 1
    ......
    the pattern of the exponents :
    the exponent of the a from n , decrease 1 each time to 0
    the exponent of the b from 0 , increase 1 each time to n
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  3. #3
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    Post :-a.....

    (a+b)the whole square=aSQUARE+bSQUARE+2ab

    answer............................................ ...........
    (a+b)the whole cube=aCUBE+bCUBE+2aSQUAREb+2bSQUAREa
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  4. #4
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    Joined
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    Thumbs up Expand one further

    (a+b)2 = (a2 + b2 + 2ab)

    Then

    (a+b)3 = (a+b) x (a2 + b2 + 2ab)
    = (a3 + 3ab2 + 3a2b + b3

    Explanation:

    When multiplying with brackets - take each part of the lefthand side and multiply the right.

    (a+b) x (a2 + b2 + 2ab)
    = a x (a2 + b2 + 2ab) + b x (a2 + b2 + 2ab)

    I hope this helps


    Quote Originally Posted by pickbrain View Post
    think................if ( a+b ) the whole square =a square + b square + 2ab
    THEN (a+b)the whole cube =?

    something else ..............................if you could get this,please explain.
    Follow Math Help Forum on Facebook and Google+

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