Question

Simplify - (2x + 3y ) (3x – y) – (x -4y) ( 4x – 3y)

Answer 1

$(2x + 3y)(3x - y) - (x - 4y)(4x - 3y) \\ \\ 2x(3x - y) + 3y(3x - y) - \\ x(4x - 3y) - 4y(4x - 3y) \\ \\ 6 {x}^{2} - 2xy + 9xy - 3 {y}^{2} - 4 {x}^{2} + 3xy \\ - 16xy + 12 {y}^{2} \\ \\ 6 {x}^{2} - 4 {x}^{2} - 2xy + 9xy+ 3xy - \\ 16xy- 3 {y}^{2} + 12 {y}^{2} \\ \\ 2 {x}^{2} - 2xy + 9{y}^{2} \\ \\ 2 {x}^{2} + 9 {y}^{2} - 2xy$