Re: Factorising this...



On Dec 10, 8:41 am, quasi <qu...@xxxxxxxx> wrote:
On Sun, 9 Dec 2007 13:30:21 -0800 (PST), Albert

<albert.xtheunkno...@xxxxxxxxx> wrote:
Hi, I'm in Year 8 (Australia) so this should be an easy question for
you guys seeing what this group is about... but how do you 'fully
factorise' this?

(They've given me the identities: difference of two squares, sum and
difference of two cubes and the perfect square rule but I'm not sure
how you apply them; i can do the individual questions relating to each
one of these indentities, but then again this question is in the
'problems section' [the last question] of this booklet...)

a²b² -a² -b² + 1

Hint:

First try 2 simpler problems:

(1) Factor: uv + u + v + 1

(2) Factor: uv - u - v + 1

quasi

(1) uv + u + v + 1 = v(u + 1) + (u + 1)
= (u + 1)(v + 1)

(2) uv -u -v + 1 = v(u-1) + (-u + 1)
= (u-1)(v-1)
.



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