a, bc(b+c)+ca(c-a)-ab(a+b)
= bc(b+c)+ac² - a²c - a²b -ab²
= bc(b+c)- a²(b+c) - a (b+c)(b-c)
= (b+c)( bc + a² - ab - ac)
= (b+c) ( c ( b+a ) - a ( a+ b) )
= ( b + c ) ( b + a ) ( c - a)
b, x² - x + y² - y
= (x² - y² ) + (-x - y)
=( x + y)( x - y) - ( x + y)
= ( x + y ) ( x- y - 1)