How to make an equation reach its maximum rank in Python-CodePudding

I am trying to make a Lagrange function but when I print it it doesn't show how it would be if the multiplications were to happen. My code is as follows:

import numpy as np
from matplotlib.pyplot import plot, show, grid
import numpy.polynomial.polynomial as poly
import matplotlib.pyplot as plt
from scipy.interpolate import lagrange
from sympy import symbols, Eq


x1 = [120, 180, 270, 300]  # x
y1 = [246, 351, 514, 572]  # y


def Lagrange(Lx, Ly):
    x = symbols('x')
    y = 0
    for k in range(len(Lx)):
        p = 1
        for j in range(len(Lx)):
            if j != k:
                p = p * ((x - Lx[j]) / (Lx[k] - Lx[j]))
        y  = p * Ly[k]
    return y


print(Lagrange(x1, y1))
poly=lagrange(x1,y1)
print(poly)

At the output I get this:

246*(5/3 - x/180)*(9/5 - x/150)*(3 - x/60)   351*(5/2 - x/120)*(3 - x/90)*(x/60 - 2)   514*(10 - x/30)*(x/150 - 4/5)*(x/90 - 2)   572*(x/180 - 2/3)*(x/120 - 3/2)*(x/30 - 9)

where I would prefer something like this:

           3            2
3.395e-06 x - 0.001528 x   1.976 x   25

CodePudding user response：

Use the simplify function

...
from sympy import simplify
...
...
print(Lagrange(x1, y1))
poly=simplify(lagrange(x1,y1))
print(poly)