# Please help me understand this algebraic simplification...

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• Aug 25th 2011, 06:05 AM
ilikehorses
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...
• Aug 25th 2011, 06:09 AM
Prove It
Re: Please help me understand this algebraic simplification...
Quote:

Originally Posted by ilikehorses
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.