Question

Спростіть вираз (2х+3у)в 2 степені-(х+3у)(2х-у)

Answer 1

${(2x + 3y)}^{2} - (x + 3y)(2x - y) = 4 {x}^{2} + 12xy + 9 {y}^{2} - (2 {x}^{2} + 5xy - 3 {y}^{2} ) = \\ \\ = 4 {x}^{2} + 12xy + 9 {y}^{2} - 2 {x}^{2} - 5xy + 3 {y}^{2} = 2 {x}^{2} + 7xy + 12 {y}^{2}$