Im having difficulty cancelling down the following;

 

(n+(W-1) * n+(Gw*(L-1))) – (n* n+(GW *(L-1))+(W-1))

 

anybody got any ideas?

n+nw-n+gwl-gw-n(squared)+gwl-gw+w-1

nw+2gwl-2gw-n^2+w-1

 

Not sure if there are any tricks here, but thats my best guess.

thanks, but i also need to cancel it down. Ill try again alter.

What do you mean by cancelling it down?

n+nw-n+gwl-gw-n(squared)+gwl-gw+w-1

nw+2gwl-2gw-n^2+w-1

 

You forgot to carry the subraction sign all the way through. If should be:

 

n+nw-n+gwl-gw-n(squared)-gwl+gw-w+1

 

and that boils down to:

 

-n²+wn-w+1

 

I can't factor that any more unless n(w-n)+(1-w) helps.

-n²+wn-w+1

 

Could go this way

X = -n²+wn-w+1= w(n-1) + 1 - n²

 

and 1 - n²= (1-n)(1+n)

therefore X = w(n-1) + (1-n)(1+n) = w(n-1) - (n-1)(1+n) = (n-1)(w-n-1)

X = (n-1)(w-n-1)

Check it. I may have made a mistake. Easy to do.

That looks like good to me. Nice job.

Thank you