Question

(3x+2y)( 9x²-6xy-4y²)-(2x+3y)(4x²-6xy+9y²)​

Answer 1

Answer:

$19( {x}^{3} + {y}^{3}) \:$

Step-by-step explanation:

$(3x + 2y)(9 {x}^{2} - 6xy + 4 {y}^{2} ) - (2x + 3y)(4 {x}^{2} - 6xy + 9 {y}^{2} ) \\ = (3x)^{3} - (2y)^{3} - (2x)^{3} + {(3y)}^{3} \\ = 27 {x}^{3} - 8 {y}^{3} - 8 {x}^{3} + 27 {x}^{3} \\ = 19 {x}^{3} + 19 {y}^{3} \\ = 19( {x}^{3} + {y}^{3} )$