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November 17th, 2016, 01:43 PM   #1
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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.

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November 17th, 2016, 02:02 PM   #2
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$x^2 + 2x +1 +ax +a$

you need to learn to recognize $x^2 + 2cx + c^2=(x+c)^2$

$(x+1)^2 + a(x+1)$

$(x+1)(x+1+a)$
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