1) ab + ac
= a ( b + c )
2) ab - ac + ad
= a ( b - a + d )
3) ax - bx - cx + dx
= x ( a - b - c + d )
4) a(b + c) - d(b + c)
= ( a - d ) . (b + c )
5) ac - ad + bc - bd
= a ( c - d ) + b ( c - d )
= ( a + b ) . ( c - d )
6) ax + by + bx + ay
= x . ( a + b ) + y . ( a + b )
= ( x + y ) . ( a + b )