Tutorial with detailled solutions on factoring polynomials.

Factoring Formulas 1: One common factor. a x + a y = a (x + y) 2: Sevearl grouped common factor. a x + a y + b x + b y = a(x + y) + b(x + y) = (a + b ) (x + y) 3: Difference of two squares (1). x^{ 2} - y^{ 2} = (x + y)(x - y) 4: Difference of two squares (2). (x + y)^{ 2} - z^{ 2} = (x + y + z)(x + y - z) 5: Sum of two cubes. x^{ 3} + y^{ 3} = (x + y)(x^{ 2} - x y + y^{ 2}) 6: Difference of two cubes. x^{ 3} - y^{ 3} = (x - y)(x^{ 2} + x y + y^{ 2}) 7: Difference of fourth powers. x^{ 4} - y^{ 4} = (x^{ 2} - y^{ 2})(x^{ 2} + y^{ 2}) = (x + y)(x - y)(x^{ 2} + y^{ 2}) 8: Perfet square x^{ 2} + 2xy + y^{ 2} = (x + y)^{ 2} 9: Perfet square x^{ 2} - 2xy + y^{ 2} = (x - y)^{ 2} 10: Perfect cube x^{ 3} + 3x^{ 2}y + 3xy^{ 2} + y^{ 3} = (x + y)^{ 3} 11: Perfect cube x^{ 3} - 3x^{ 2}y + 3xy^{ 2} - y^{ 3} = (x - y)^{ 3}