Question

simplify (2x +y) ( 1 + 4x +3y ) _ 6x ( x + y)​

Answer 1

Answer:

$(2x + y)(1 + 4x + 3y) - 6x(x + y) \\ = 2x(1 + 4x + 3y) + y(1 + 4x + 3y) - 6x(x + y) \\ = 2x + 8{x}^{2} + 6xy + y + 4xy + 3 {y}^{2} - 6 {x}^{2} - 6xy \\ = 8 {x}^{2} - 6 {x}^{2} + 3 {y}^{2} + 6xy + 4xy - 6xy + 2x + y \\ = 2x{x}^{2} + {3y}^{2} + 4xy + 2x + y$