{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "source": [
        "# Seccion 1.4"
      ],
      "metadata": {
        "id": "MSBZLjmrtBpb"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "Utilizando unicamente la librería sympy, definimos las variables *x* y *a*. Luego, construímos la expresión $-2a^2 - 5ax + 12x^2$ de la siguiente manera:"
      ],
      "metadata": {
        "id": "yCDsbwdZW_7z"
      }
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 38
        },
        "id": "a7dbd63d",
        "outputId": "367e80a9-411b-4110-df7c-595eb8e1c7ce"
      },
      "source": [
        "import sympy\n",
        "\n",
        "x, a = sympy.symbols('x a')\n",
        "\n",
        "expresion = 12*x**2 - 5*a*x - 2*a**2\n",
        "\n",
        "expresion"
      ],
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "-2*a**2 - 5*a*x + 12*x**2"
            ],
            "text/latex": "$\\displaystyle - 2 a^{2} - 5 a x + 12 x^{2}$"
          },
          "metadata": {},
          "execution_count": 2
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Ahora empleamos la función factor de sympy para factorizar la expresión:"
      ],
      "metadata": {
        "id": "LGxTb3ugXlKy"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "expresion_factorizada = sympy.factor(expresion)\n",
        "\n",
        "expresion_factorizada"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 38
        },
        "id": "OJBLm3iaWx1y",
        "outputId": "37e42543-7f37-420a-c10b-9473aa6c6d3f"
      },
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(-2*a + 3*x)*(a + 4*x)"
            ],
            "text/latex": "$\\displaystyle \\left(- 2 a + 3 x\\right) \\left(a + 4 x\\right)$"
          },
          "metadata": {},
          "execution_count": 3
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [],
      "metadata": {
        "id": "2Ix9ZXjntHv5"
      }
    }
  ]
}