The Student Room Group

Factorisation

How would you factorise ab²-1+a-b² ?
As the whole equation doesn't have one common letter but if divided into two equations the -1 wouldn't fit if a or b was on the outside?
Original post by beth_page
How would you factorise ab²-1+a-b² ?
As the whole equation doesn't have one common letter but if divided into two equations the -1 wouldn't fit if a or b was on the outside?


Rewrite it as ab^2-b^2+a-1.
Try factorising anything you can and see if you can spot it.


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Reply 2
You can divide it into two equations a better way (assuming I get what you're saying)
As you have two positives and two negatives it makes sense to split them up to give
ab^2 + a - (b^2 + 1)
Can you see how to factorise this?
Reply 3
Original post by 1 8 13 20 42
You can divide it into two equations a better way (assuming I get what you're saying)
As you have two positives and two negatives it makes sense to split them up to give
ab^2 + a - (b^2 + 1)
Can you see how to factorise this?


Thank you!
So would it be
ab²+a-(b²+1)
a(b²+1) - (b²+1)
so a(b²+1)
Reply 4
Original post by beth_page
Thank you!
So would it be
ab²+a-(b²+1)
a(b²+1) - (b²+1)
so a(b²+1)


No problem :smile: You've gone wrong on the last line; you've got rid of the term - (b^2 + 1) rather than factorising.

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