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Find the product. Write your solution in standard form. (h+7)2ℎ+72

Question

Find the product. Write your solution in standard form. (h+7)2ℎ+72

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Solution

Claro, vamos a resolver el problema paso a paso.

Primero, identifiquemos la expresión que necesitamos simplificar: (h+7)2+h+72(h + 7)^2 + h + 7^2.

  1. Expandimos (h+7)2(h + 7)^2: (h+7)2=(h+7)(h+7) (h + 7)^2 = (h + 7)(h + 7) Utilizamos la propiedad distributiva (también conocida como el método FOIL para binomios): (h+7)(h+7)=h2+7h+7h+49 (h + 7)(h + 7) = h^2 + 7h + 7h + 49 Simplificamos los términos semejantes: h2+14h+49 h^2 + 14h + 49

  2. Ahora, sumamos hh y 727^2 a la expresión expandida: h2+14h+49+h+49 h^2 + 14h + 49 + h + 49

  3. Simplificamos los términos semejantes: h2+14h+h+49+49 h^2 + 14h + h + 49 + 49 h2+15h+98 h^2 + 15h + 98

Por lo tanto, la solución en forma estándar es: h2+15h+98 h^2 + 15h + 98

This problem has been solved

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