Question
Efectuar: \( A=x\left(x^{2}-2 x+4\right)-\left(x^{3}-2 x^{2}\right) \) Hallar: \( A^{2} \)
Ask by Dawson Willis. in Nicaragua
Mar 11,2025
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Answer
\( A^{2} = 16x^{2} \)
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Primero, vamos a simplificar la expresión \( A \): \[ A = x\left(x^{2} - 2x + 4\right) - (x^{3} - 2x^{2}) \] Expandimos el primer término: \[ A = x^3 - 2x^2 + 4x - x^3 + 2x^2 \] Ahora, al combinar términos semejantes: \[ A = -2x^2 + 2x^2 + 4x = 4x \] Por lo tanto, \( A = 4x \). Ahora, para hallar \( A^{2} \): \[ A^{2} = (4x)^{2} = 16x^{2} \] Así que la respuesta final es: \[ A^{2} = 16x^{2} \]