MatemáticasBásico1 respuestas

Relacionr correctamente, si se define :P * q = (p - q)(p ^ 2 + pq + q ^ 2)2 * ( - 1)?

Relacionr correctamente, si se define : P * q = (p - q)(p ^ 2 + pq + q ^ 2) 2 * ( - 1). 3 * ( - 2) - 1 * 1 5 * 2 a. 0 b. 1 c. 117 d. 9 e. - 2 F. 17 G. 35.

En resumen

Hola! \ (•◡•) / Para simplificar el ejercicio recordemos diferencia de cubos, el cual es<img src="https://tex.z-dn.net/?f=%20a%5E%7B3%7D-b%5E%7B3%7D%3D%28a-b%29%28a%5E%7B2%7D%2Bab%2Bb%5E%7B2%7D%29%20" />Entonces en el problema<img src="https://tex.z-dn.net/?

Mejor respuesta

AnyNava8706
9

Hola!

\ (•◡•) / Para simplificar el ejercicio recordemos diferencia de cubos, el cual es<img src="https://tex.z-dn.net/?f=%20a%5E%7B3%7D-b%5E%7B3%7D%3D%28a-b%29%28a%5E%7B2%7D%2Bab%2Bb%5E%7B2%7D%29%20" />Entonces en el problema<img src="https://tex.z-dn.net/?f=%20p%2Aq%3D%28p-q%29%28p%5E%7B2%7D%2Bpq%2Bq%5E%7B2%7D%29%3Dp%5E%7B3%7D-%20q%5E%7B3%7D%20" />Ahora resolveremos cada punto►<img src="https://tex.z-dn.net/?f=%20Para%5C%3A2%2A%28-1%29%5C%5C%5C%5Cp%2Aq%3Dp%5E%7B3%7D-%20q%5E%7B3%7D%5C%5C%5C%5C2%2A%28-1%29%3D2%5E%7B3%7D-%20%28-1%29%5E%7B3%7D%20%5C%5C%5C%5C2%2A%28-1%29%3D8-%28-1%29%5C%5C%5C%5C2%2A%28-1%29%3D8%2B1%5C%5C%5C%5C2%2A%28-1%29%3D9%20" />►<img src="https://tex.z-dn.net/?f=%20Para%5C%3A3%2A%28-2%29%5C%5C%5C%5Cp%2Aq%3Dp%5E%7B3%7D-%20q%5E%7B3%7D%5C%5C%5C%5C3%2A%28-2%29%3D3%5E%7B3%7D-%20%28-2%29%5E%7B3%7D%20%5C%5C%5C%5C3%2A%28-2%29%3D27-%28-8%29%5C%5C%5C%5C3%2A%28-2%29%3D27%2B8%5C%5C%5C%5C3%2A%28-2%29%3D35%20" />►<img src="https://tex.z-dn.net/?f=%20Para%5C%3A%28-1%29%2A1%5C%5C%5C%5Cp%2Aq%3Dp%5E%7B3%7D-%20q%5E%7B3%7D%5C%5C%5C%5C%28-1%29%2A1%3D%28-1%29%5E%7B3%7D-%201%5E%7B3%7D%20%5C%5C%5C%5C%28-1%29%2A1%3D-1-1%5C%5C%5C%5C%28-1%29%2A1%3D-2%20" />►<img src="https://tex.z-dn.net/?f=%20Para%5C%3A5%2A2%5C%5C%5C%5Cp%2Aq%3Dp%5E%7B3%7D-%20q%5E%7B3%7D%5C%5C%5C%5C5%2A2%3D5%5E%7B3%7D-%202%5E%7B3%7D%20%5C%5C%5C%5C5%2A2%3D125-8%5C%5C%5C%5C5%2A2%3D117%20" />Rpta : Al primer punto le corresponde la letra D, al segundo punto la letra G, al tercer punto la letra E y al último punto C.