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Math Help - Please help me understand this algebraic simplification...

  1. #1
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    Please help me understand this algebraic simplification...

    Hey guys, I have here

    k(k+1)+2(k+1) / 2

    which they have simplified to

    (k+1)(k+2) / 2

    Now I can see that they've multiplied that +1 in last term by the +2 constant which precedes that term, but why haven't they also made it 2k. Shouldn't it be (k+1)(2k+2)...? And how exactly was that leading k removed from it altogether...

    Please help me out with this, I've been stuck for ages...
    Last edited by ilikehorses; August 25th 2011 at 05:06 AM. Reason: layout
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  2. #2
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    Re: Please help me understand this algebraic simplification...

    Quote Originally Posted by ilikehorses View Post
    Hey guys, I have here

    k(k+1)+2(k+1) / 2

    which they have simplified to

    (k+1)(k+2) / 2

    Now I can see that they've multiplied that +1 in last term by the +2 constant which precedes that term, but why haven't they also made it 2k. Shouldn't it be (k+1)(2k+2)...? And how exactly was that leading k removed from it altogether...

    Please help me out with this, I've been stuck for ages...
    (k + 1) is a common factor.
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