Productos notables Complete el desarrollo de cada binomio A) (t ^ 2 + 2t) ^ 3 = B) ( 3x / 4 - 4 / 3y) ^ 3 = C) ( a ^ 2 - b4) ^ 3 = D) ( 2a + 3b) ^ 3 = E) ( 2a / 5 + 5 / 2b) ^ 3 = F) ( 2 / 5a + 5 / 2b) ^ 3 = Ayudenme porfa es urgente !
En resumen
El desarrollo de cada binomio se obtiene por el uso de la fórmula : (a ± b)³ = a³ ± 3a²b + 3ab² ± b³Explicación paso a paso : Aplicaremos la fórmula general del binomio al cubo en cada uno de los productos notables solicitados : <img src="https://tex.z-dn.net/?
El desarrollo de cada binomio se obtiene por el uso de la fórmula : (a ± b)³ = a³ ± 3a²b + 3ab² ± b³Explicación paso a paso : Aplicaremos la fórmula general del binomio al cubo en cada uno de los productos notables solicitados : <img src="https://tex.z-dn.net/?f=%5Cbold%7BA%29%5Cquad%28t%5E%7B2%7D%2B2t%29%5E%7B3%7D%7D" /><img src="https://tex.z-dn.net/?f=%28t%5E%7B2%7D%2B2t%29%5E%7B3%7D%3D%28t%5E%7B2%7D%29%5E%7B3%7D%2B3%28t%5E%7B2%7D%29%5E%7B2%7D%282t%29%2B3%28t%5E%7B2%7D%29%282t%29%5E%7B2%7D%2B%282t%29%5E%7B3%7D%20%5Cqquad%20%5CRightarrow%5C%5C%5C%5C%5Cbold%7B%28t%5E%7B2%7D%2B2t%29%5E%7B3%7D%3Dt%5E%7B6%7D%2B6t%5E%7B5%7D%2B12t%5E%7B4%7D%2B8t%5E%7B3%7D%7D" /><img src="https://tex.z-dn.net/?f=%5Cbold%7BB%29%5Cquad%28%5Cfrac%7B3x%7D%7B4%7D-%5Cfrac%7B4%7D%7B3y%7D%29%5E%7B3%7D%7D" /><img src="https://tex.z-dn.net/?f=%28%5Cfrac%7B3x%7D%7B4%7D-%5Cfrac%7B4%7D%7B3y%7D%29%5E%7B3%7D%3D%28%5Cfrac%7B3x%7D%7B4%7D%29%5E%7B3%7D-3%28%5Cfrac%7B3x%7D%7B4%7D%29%5E%7B2%7D%28%5Cfrac%7B4%7D%7B3y%7D%29%2B3%28%5Cfrac%7B3x%7D%7B4%7D%29%28%5Cfrac%7B4%7D%7B3y%7D%29%5E%7B2%7D-%28%5Cfrac%7B4%7D%7B3y%7D%29%5E%7B3%7D%20%5Cqquad%20%5CRightarrow%5C%5C%5C%5C%5Cbold%7B%28%5Cfrac%7B3x%7D%7B4%7D-%5Cfrac%7B4%7D%7B3y%7D%29%5E%7B3%7D%3D%5Cfrac%7B27x%5E%7B3%7D%7D%7B64%7D-%5Cfrac%7B9x%5E%7B2%7D%7D%7B4y%7D%2B%5Cfrac%7B4x%7D%7By%5E%7B2%7D%7D-%5Cfrac%7B64%7D%7B27y%5E%7B3%7D%7D%7D" /><img src="https://tex.z-dn.net/?f=%5Cbold%7BC%29%5Cquad%28a%5E%7B2%7D-b%5E%7B4%7D%29%5E%7B3%7D%7D" /><img src="https://tex.z-dn.net/?f=%28a%5E%7B2%7D-b%5E%7B4%7D%29%5E%7B3%7D%3D%28a%5E%7B2%7D%29%5E%7B3%7D-3%28a%5E%7B2%7D%29%5E%7B2%7D%28b%5E%7B4%7D%29%2B3%28a%5E%7B2%7D%29%28b%5E%7B4%7D%29%5E%7B2%7D-%28b%5E%7B4%7D%29%5E%7B3%7D%20%5Cqquad%20%5CRightarrow%5C%5C%5C%5C%5Cbold%7B%28a%5E%7B2%7D-b%5E%7B4%7D%29%5E%7B3%7D%3Da%5E%7B6%7D-3a%5E%7B4%7Db%5E%7B4%7D%2B3a%5E%7B2%7Db%5E%7B8%7D-b%5E%7B12%7D%7D" /><img src="https://tex.z-dn.net/?f=%5Cbold%7BD%29%5Cquad%282a%2B3b%29%5E%7B3%7D%7D" /><img src="https://tex.z-dn.net/?f=%282a%2B3b%29%5E%7B3%7D%3D%282a%29%5E%7B3%7D%2B3%282a%29%5E%7B2%7D%283b%29%2B3%282a%29%283b%29%5E%7B2%7D%2B%283b%29%5E%7B3%7D%20%5Cqquad%20%5CRightarrow%5C%5C%5C%5C%5Cbold%7B%282a%2B3b%29%5E%7B3%7D%3D8a%5E%7B3%7D%2B36a%5E%7B2%7Db%2B54ab%5E%7B2%7D%2B27b%5E%7B3%7D%7D" /><img src="https://tex.z-dn.net/?f=%5Cbold%7BE%29%5Cquad%28%5Cfrac%7B2a%7D%7B5%7D%2B%5Cfrac%7B5%7D%7B2b%7D%29%5E%7B3%7D%7D" /><img src="https://tex.z-dn.net/?f=%28%5Cfrac%7B2a%7D%7B5%7D%2B%5Cfrac%7B5%7D%7B2b%7D%29%5E%7B3%7D%3D%28%5Cfrac%7B2a%7D%7B5%7D%29%5E%7B3%7D%2B3%28%5Cfrac%7B2a%7D%7B5%7D%29%5E%7B2%7D%28%5Cfrac%7B5%7D%7B2b%7D%29%2B3%28%5Cfrac%7B2a%7D%7B5%7D%29%28%5Cfrac%7B5%7D%7B2b%7D%29%5E%7B2%7D%2B%28%5Cfrac%7B5%7D%7B2b%7D%29%5E%7B3%7D%20%5Cqquad%20%5CRightarrow%5C%5C%5C%5C%5Cbold%7B%28%5Cfrac%7B2a%7D%7B5%7D%2B%5Cfrac%7B5%7D%7B2b%7D%29%5E%7B3%7D%3D%5Cfrac%7B8a%5E%7B3%7D%7D%7B125%7D%2B%5Cfrac%7B6a%5E%7B2%7D%7D%7B5b%7D%2B%5Cfrac%7B5a%7D%7B2b%5E%7B2%7D%7D%2B%5Cfrac%7B125%7D%7B8b%5E%7B3%7D%7D%7D" />[img = 10][img = 11].
Saludos Para multiplicar polinomio (binomio en este caso) por polinomio, se multiplica cada termino de uno por cada termino del otro. (x - 5) (x + 3) = x * x + x * 3 - 5 * x - 5 * 3 = x² + 3x - 5x - 15 = x² - 2x - 15.
Simplemente. Axllxa.
Respuesta : ¡Hola! El resultado es : 5a.