Question

5) Simplifique a expressão algébrica (x + y)2 - (2x + 2y)2​

Answer 1

Resposta:

${(x + y)}^{2} - {(2x + 2y)}^{2} = \\ \\ {(x + y)}^{2} = (x + y).(x + y) = \\ {x}^{2} + xy + yx + {y}^{2} \\ = {x}^{2} + 2xy + {y}^{2} \\ \\ {(2x + 2y)}^{2} = \\ {4x}^{2} + 8xy + {4y}^{2} \\ \\ {x}^{2} + 2xy + {y}^{2} - {4x}^{2} + 8xy + {4y}^{2} = \\ { - 3x}^{2} + 10xy + {5y}^{2}$