Question

Desenvolva o binômio (2x+y)^5​

Answer 1

Resposta:

${32x}^{5} + {80x}^{4} y + {80x}^{3} {y}^{2} + {40x}^{2} {y}^{3} + {10xy}^{4} + {y}^{5}$

Explicação passo-a-passo:

$(2x + y {)}^{5} \\ (2x + y {)}^{ 3 + 2} \\(2x + y {)}^{3} \times (2x + y {)}^{2} \\ ( {8x}^{3} + {12x}^{2} y + {6xy}^{2} + {y}^{3} ) \times ( {4x}^{2} + 4xy + {y}^{2} ) \\ {32x}^{5} + {32x}^{4} y + {8x}^{3} {y}^{2} + {48x}^{4} y + {12x}^{2} {y}^{3} + {24x}^{3} {y}^{2} + {24x}^{2} {y}^{3} + {6xy}^{4} + {4x}^{2} {y}^{3} + {4xy}^{4} + {y}^{5 } \\ {32x}^{5} + {80x}^{4} y + {80x}^{3} {y}^{2} + {40x}^{2} {y}^{3} + {10xy}^{4} + {y}^{5}$

• Espero ter ajudado.