Factorise X^2 - y^2 - 2x + 2y

Question

Factorise  X^2 - y^2 - 2x + 2y

anonymous · Answer

Did you try factoring out the x and y? If it helps, try rearranging the terms like so:
$$x^2 - 2x - y^2 + 2y$$ and try grouping/factoring the x out and the y out

kuoministers · Answer

Actually i tried that and it doesnt work... grouping doesnt work... Completing the square doesnt work...

jim_thompson5910 · Answer

x^2 - y^2 - 2x + 2y


(x^2 - y^2) + ( - 2x + 2y)


(x - y)(x + y) + ( - 2x + 2y)


(x - y)(x + y) - 2( x - y)


See where to go from here?

anonymous · Answer

@jim_thompson5910 started you off great. There is still something in common you could factor out to further simplify it. Think about it

anonymous · Answer

I think he left it out on purpose

kuoministers · Answer

Thanks you so much jim.. i know how to complete it now. Thanks

jim_thompson5910 · Answer

np