Efectuar: $$ A=x\left(x^{2}-2 x+4\right)-\left(x^{3}-2 x^{2}\right) $$ Hallar: $$ A^{2} $$

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Simplify the expression by following steps:
- step0: Subtract the terms:
  $$x\left(x^{2}-2x+4\right)-\left(x^{3}-2x^{2}\right)$$
- step1: Remove the parentheses:
  $$x\left(x^{2}-2x+4\right)-x^{3}+2x^{2}$$
- step2: Expand the expression:
  $$x^{3}-2x^{2}+4x-x^{3}+2x^{2}$$
- step3: Collect like terms:
  $$4x$$
Expand the expression $$ (4x)^{2} $$
Simplify the expression by following steps:
- step0: Simplify:
  $$\left(4x\right)^{2}$$
- step1: Use the properties of exponents:
  $$4^{2}x^{2}$$
- step2: Evaluate the power:
  $$16x^{2}$$
Primero, vamos a calcular $$ A $$:

$$
A = x\left(x^{2}-2 x+4\right)-\left(x^{3}-2 x^{2}\right)
$$

Al expandir la expresión, obtenemos:

$$
A = 4x
$$

Ahora, para hallar $$ A^{2} $$:

$$
A^{2} = (4x)^{2} = 16x^{2}
$$

Por lo tanto, el resultado final es:

$$
A^{2} = 16x^{2}
$$
$$ A^{2} = 16x^{2} $$

Efectuar: \( A=x\left(x^{2}-2 x+4\right)-\left(x^{3}-2 x^{2}\right) \) Hallar: \( A^{2} \)

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