Question
De \( x^{3}+6 x^{2}-3 x+4 \) Restar \( 3 x^{2}-2 x \)
Ask by Rogers Mccarthy. in Ecuador
Mar 18,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
La expresión simplificada es \( x^3 + 3x^2 - x + 4 \).
Solution
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The Deep Dive
Al realizar la resta \( x^{3}+6 x^{2}-3 x+4 - (3 x^{2}-2 x) \), primero distribuimos el signo negativo dentro del paréntesis. Esto nos da: \[ x^{3}+6 x^{2}-3 x+4 - 3 x^{2} + 2 x \] Ahora, agrupamos los términos semejantes: \[ x^{3} + (6 x^{2} - 3 x^{2}) + (-3 x + 2 x) + 4 \] Esto se simplifica a: \[ x^{3} + 3 x^{2} - x + 4 \] ¡Y voilà! El resultado final de la resta es: \[ x^{3} + 3 x^{2} - x + 4 \]
