3941.sagews

a=[1,2,3,4,5,6]
b=[1,3,6,7]
c=[]

for i in a:
    if i not in b:
        c.append(i)
            
print c

[2, 4, 5]

var('x')
f=((3+x)^2-x^2)*(x-2)-6*(x^2-2)+2
f1=f.simplify_full()
print f1


f2=(x+2)^3-(x+2)*(2*x-1)-(x-1)^3-2*x*(3*x-1)+1
f1=f2.simplify_full()
print f1

f3=x^5+3*x^4-4*x^3-12*x^2
f1=f3.factor()
print f1

var('a, b')
g=2*a^3*b^3-50*a*b^3

f1=g.factor()
print f1
f1=g.simplify_full()
print f1

-3*x - 4 x^2 + 8*x + 12 (x - 2)*(x + 2)*(x + 3)*x^2 2*(a - 5)*(a + 5)*a*b^3 2*(a^3 - 25*a)*b^3

h=(x-2)/(x+3)-(x+1)/(x-5)-(2-10*x)/(x^2-2*x-15)

h2=h.factor()
print h2
h2=h.simplify_full()
print h2

-1/(x + 3) -1/(x + 3)

h=(2-sqrt(2))^2-sqrt(2*sqrt(4))-(3-sqrt(2))*(sqrt(2)-1)^(-1)

h2=h.factor()
show(h2)
h2=h.simplify_full()
show(h2)

\newcommand{\Bold}[1]{\mathbf{#1}}\frac{3 \, {\left(3 \, \sqrt{2} - 5\right)}}{\sqrt{2} - 1}

\newcommand{\Bold}[1]{\mathbf{#1}}\frac{3 \, {\left(3 \, \sqrt{2} - 5\right)}}{\sqrt{2} - 1}

var('a, b')
h=log((a^3*b^(-1))/(c^(-1)))^(1/4)

h2=h.factor()
show(h2)
h2=h.simplify_full()
show(h2)

Traceback (most recent call last): show(h2) File "", line 1, in <module> File "/tmp/tmpsJuFp9/___code___.py", line 4, in <module> h=log((a**_sage_const_3 *b**(-_sage_const_1 ))/(c**(-_sage_const_1 ))) File "integer.pyx", line 1871, in sage.rings.integer.Integer.__pow__ (sage/rings/integer.c:12477) TypeError: unsupported operand type(s) for ** or pow(): 'list' and 'int'