Question

Simplify:(4x-y) (x-3y) - (x-2y) (2x - y)​

Answer 1

Answer:

$(4x - y)(x - 3y) - (x - 2y)(2x - y) \\ \\( 4 {x}^{2} - 12xy - xy + 3 {y}^{2} ) - (2 {x}^{2} - xy - 4xy + 2 {y}^{2} ) \\ \\ 4 {x}^{2} - 13xy + 3 {y}^{2} - 2 {x}^{2} + 5xy - 2 {y}^{2} \\ \\ 2 {x}^{2} - 8xy + {y}^{2}$

Answer 2

Answer:

$(4x - y)(x - 3y) - (x - 2y)(2x - y) \\ 4x(x - 3y) - y(x - 3y) - x(2x - y) - 2y(2x - y) \\ (4 {x}^{2} - 12xy - xy + 3 {y}^{2} ) - ( 2 {x}^{2} - xy - 4xy + 2 {y}^{2} ) \\ 4 {x}^{2} - 12xy - xy + 3 {y}^{2} - 2 {x}^{2} + xy + 4xy - 2 {y}^{2} \\ 2 {x}^{2} + {y}^{2} - 8xy$