Question

cuánto es (4x²+m²y)²


me pueden explicar por pasos
por favor:( para hoy​

Answer 1

Respuesta:

$16 {x}^{4} + 8 {x}^{2} {m}^{2} y + {m}^{4} {y}^{2}$

Explicación paso a paso:

${(4 {x}^{2} + {m}^{2}y) }^{2}$

• Recuerda binomio al cuadrado:

${(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2}$

• Reemplazamos:

${(4 {x}^{2} + {m}^{2}y) }^{2} = {(4 {x}^{2} )}^{2} + 2(4 {x}^{2} )( {m}^{2} y) + {( {m}^{2} y)}^{2} \\ {(4 {x}^{2} + {m}^{2} y)}^{2} = {4}^{2} {( {x}^{2}) }^{2} + 8 {x}^{2} {m}^{2} y + {( {m}^{2}) }^{2} {y}^{2}$

• Resolvemos:

${(4 {x}^{2} + {m}^{2}y) }^{2} = 16 {x}^{4} + 8 {x}^{2} {m}^{2} y + {m}^{4} {y}^{2}$

Espero que te sirva !)