My Math Forum Factorising question

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 November 17th, 2016, 12:43 PM #1 Newbie   Joined: Nov 2016 From: New Zealand Posts: 6 Thanks: 0 Factorising question Factorise x^2 + 2x +1 +ax +a Originally I pulled out the x and the a: x(x+2) + a(x+1) + 1 but could not factorise further. The books answer is (x+1)(x+1+a) which expands to be correct. I do not know a general method for factorising equations like this. Would appreciate comments on method and perhaps a few examples without answers or directions to some more equations to solve or info about this. Thanks
 November 17th, 2016, 01:02 PM #2 Senior Member     Joined: Sep 2015 From: USA Posts: 1,930 Thanks: 998 $x^2 + 2x +1 +ax +a$ you need to learn to recognize $x^2 + 2cx + c^2=(x+c)^2$ $(x+1)^2 + a(x+1)$ $(x+1)(x+1+a)$ Thanks from topsquark and zooscientist

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