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last edited 11 years ago by test1 |
Edit detail for SandBox DoOps revision 2 of 2
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Editor: test1
Time: 2013/04/30 15:31:57 GMT+0 |
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changed: -zerosOf(7-5*x+5*x**2-x**3,x) zerosOf(7-5*x+5*x^2-x^3,x) changed: -simplify((6+(-1+x)**2*(-2+(-3+x)*(-1+x))-6*x)/(-1+x)) simplify((6+(-1+x)^2*(-2+(-3+x)*(-1+x))-6*x)/(-1+x)) changed: -factor(-(-x**2+y**2)*(z-x)+(-x**2+z**2)*(y-x)) - -simplify(((-(-w+y)*(-w**2+x**2)+(-w**2+y**2)*(x-w))*(-(-w**3+x**3)*(z-w)+(-w**3+z**3)*(x-w))-((-w**3+y**3)*(x-w)-(-w+y)*(-w**3+x**3))*((-w**2+z**2)*(x-w)-(-w**2+x**2)*(z-w)))/(x-w)) factor(-(-x^2+y^2)*(z-x)+(-x^2+z^2)*(y-x)) simplify(((-(-w+y)*(-w^2+x^2)+(-w^2+y^2)*(x-w))*(-(-w^3+x^3)*(z-w)+(-w^3+z^3)*(x-w))-((-w^3+y^3)*(x-w)-(-w+y)*(-w^3+x^3))*((-w^2+z^2)*(x-w)-(-w^2+x^2)*(z-w)))/(x-w))
fricas
(1) -> zerosOf(7-5*x+5*x^2-x^3,x)
![\label{eq1}\begin{array}{@{}l}
\displaystyle
\left[ \%x 0, \:{\frac{-{\sqrt{-{3 \ {{\%x 0}^{2}}}+{{10}\ \%x 0}+ 5}}- \%x 0 + 5}{2}}, \: \right.
\
\
\displaystyle
\left.{\frac{{\sqrt{-{3 \ {{\%x 0}^{2}}}+{{10}\ \%x 0}+ 5}}- \%x 0 + 5}{2}}\right]](images/1827333320239515350-16.0px.png "\label{eq1}\begin{array}{@{}l}
\displaystyle
\left[ \%x 0, \:{\frac{-{\sqrt{-{3 \ {{\%x 0}^{2}}}+{{10}\ \%x 0}+ 5}}- \%x 0 + 5}{2}}, \: \right.
\
\
\displaystyle
\left.{\frac{{\sqrt{-{3 \ {{\%x 0}^{2}}}+{{10}\ \%x 0}+ 5}}- \%x 0 + 5}{2}}\right]") | (1) |
Type: List(Expression(Integer))
fricas
simplify((6+(-1+x)^2*(-2+(-3+x)*(-1+x))-6*x)/(-1+x))
 | (2) |
Type: Expression(Integer)
fricas
factor(-(-x^2+y^2)*(z-x)+(-x^2+z^2)*(y-x))
 | (3) |
Type: Factored(Polynomial(Integer))
fricas
simplify(((-(-w+y)*(-w^2+x^2)+(-w^2+y^2)*(x-w))*(-(-w^3+x^3)*(z-w)+(-w^3+z^3)*(x-w))-((-w^3+y^3)*(x-w)-(-w+y)*(-w^3+x^3))*((-w^2+z^2)*(x-w)-(-w^2+x^2)*(z-w)))/(x-w))
![\label{eq4}\begin{array}{@{}l}
\displaystyle
{{\left({{\left(x - w \right)}\ {{y}^{2}}}+{{\left(-{{x}^{2}}+{{w}^{2}}\right)}\ y}+{w \ {{x}^{2}}}-{{{w}^{2}}\ x}\right)}\ {{z}^{3}}}+
\
\
\displaystyle
{{\left({{\left(- x + w \right)}\ {{y}^{3}}}+{{\left({{x}^{3}}-{{w}^{3}}\right)}\ y}-{w \ {{x}^{3}}}+{{{w}^{3}}\ x}\right)}\ {{z}^{2}}}+
\
\
\displaystyle
{{\left({{\left({{x}^{2}}-{{w}^{2}}\right)}\ {{y}^{3}}}+{{\left(-{{x}^{3}}+{{w}^{3}}\right)}\ {{y}^{2}}}+{{{w}^{2}}\ {{x}^{3}}}-{{{w}^{3}}\ {{x}^{2}}}\right)}\ z}+
\
\
\displaystyle
{{\left(-{w \ {{x}^{2}}}+{{{w}^{2}}\ x}\right)}\ {{y}^{3}}}+{{\left({w \ {{x}^{3}}}-{{{w}^{3}}\ x}\right)}\ {{y}^{2}}}+ \
\
\displaystyle
{{\left(-{{{w}^{2}}\ {{x}^{3}}}+{{{w}^{3}}\ {{x}^{2}}}\right)}\ y}](images/7717934642346786631-16.0px.png "\label{eq4}\begin{array}{@{}l}
\displaystyle
{{\left({{\left(x - w \right)}\ {{y}^{2}}}+{{\left(-{{x}^{2}}+{{w}^{2}}\right)}\ y}+{w \ {{x}^{2}}}-{{{w}^{2}}\ x}\right)}\ {{z}^{3}}}+
\
\
\displaystyle
{{\left({{\left(- x + w \right)}\ {{y}^{3}}}+{{\left({{x}^{3}}-{{w}^{3}}\right)}\ y}-{w \ {{x}^{3}}}+{{{w}^{3}}\ x}\right)}\ {{z}^{2}}}+
\
\
\displaystyle
{{\left({{\left({{x}^{2}}-{{w}^{2}}\right)}\ {{y}^{3}}}+{{\left(-{{x}^{3}}+{{w}^{3}}\right)}\ {{y}^{2}}}+{{{w}^{2}}\ {{x}^{3}}}-{{{w}^{3}}\ {{x}^{2}}}\right)}\ z}+
\
\
\displaystyle
{{\left(-{w \ {{x}^{2}}}+{{{w}^{2}}\ x}\right)}\ {{y}^{3}}}+{{\left({w \ {{x}^{3}}}-{{{w}^{3}}\ x}\right)}\ {{y}^{2}}}+ \
\
\displaystyle
{{\left(-{{{w}^{2}}\ {{x}^{3}}}+{{{w}^{3}}\ {{x}^{2}}}\right)}\ y}") | (4) |
Type: Expression(Integer)
fricas
expand((z-y)*(z-x)*(z-w)*(y-x)*(y-w)*(x-w))
![\label{eq5}\begin{array}{@{}l}
\displaystyle
{{\left({{\left(x - w \right)}\ {{y}^{2}}}+{{\left(-{{x}^{2}}+{{w}^{2}}\right)}\ y}+{w \ {{x}^{2}}}-{{{w}^{2}}\ x}\right)}\ {{z}^{3}}}+
\
\
\displaystyle
{{\left({{\left(- x + w \right)}\ {{y}^{3}}}+{{\left({{x}^{3}}-{{w}^{3}}\right)}\ y}-{w \ {{x}^{3}}}+{{{w}^{3}}\ x}\right)}\ {{z}^{2}}}+
\
\
\displaystyle
{{\left({{\left({{x}^{2}}-{{w}^{2}}\right)}\ {{y}^{3}}}+{{\left(-{{x}^{3}}+{{w}^{3}}\right)}\ {{y}^{2}}}+{{{w}^{2}}\ {{x}^{3}}}-{{{w}^{3}}\ {{x}^{2}}}\right)}\ z}+
\
\
\displaystyle
{{\left(-{w \ {{x}^{2}}}+{{{w}^{2}}\ x}\right)}\ {{y}^{3}}}+{{\left({w \ {{x}^{3}}}-{{{w}^{3}}\ x}\right)}\ {{y}^{2}}}+ \
\
\displaystyle
{{\left(-{{{w}^{2}}\ {{x}^{3}}}+{{{w}^{3}}\ {{x}^{2}}}\right)}\ y}](images/5198125564200214064-16.0px.png "\label{eq5}\begin{array}{@{}l}
\displaystyle
{{\left({{\left(x - w \right)}\ {{y}^{2}}}+{{\left(-{{x}^{2}}+{{w}^{2}}\right)}\ y}+{w \ {{x}^{2}}}-{{{w}^{2}}\ x}\right)}\ {{z}^{3}}}+
\
\
\displaystyle
{{\left({{\left(- x + w \right)}\ {{y}^{3}}}+{{\left({{x}^{3}}-{{w}^{3}}\right)}\ y}-{w \ {{x}^{3}}}+{{{w}^{3}}\ x}\right)}\ {{z}^{2}}}+
\
\
\displaystyle
{{\left({{\left({{x}^{2}}-{{w}^{2}}\right)}\ {{y}^{3}}}+{{\left(-{{x}^{3}}+{{w}^{3}}\right)}\ {{y}^{2}}}+{{{w}^{2}}\ {{x}^{3}}}-{{{w}^{3}}\ {{x}^{2}}}\right)}\ z}+
\
\
\displaystyle
{{\left(-{w \ {{x}^{2}}}+{{{w}^{2}}\ x}\right)}\ {{y}^{3}}}+{{\left({w \ {{x}^{3}}}-{{{w}^{3}}\ x}\right)}\ {{y}^{2}}}+ \
\
\displaystyle
{{\left(-{{{w}^{2}}\ {{x}^{3}}}+{{{w}^{3}}\ {{x}^{2}}}\right)}\ y}") | (5) |
Type: Polynomial(Integer)