Question

Desarrollar la siguiente expresion con productos notables

Answer 1

Respuesta:

Explicación paso a paso:

$\sqrt[4]{(x+1)^{3}.(x^{3}+1) } .(x^{3}+1)^{1,5} .\sqrt[4]{(x^{6}+2x^{3}+1) .(x^{2}-x+1)^{3} }$

$\sqrt[4]{(x+1)^{3}}\sqrt[4]{(x^{3}+1)} .(x^{3}+1)^{\frac{3}{2} } .\sqrt[4]{(x^{3}+1)^{2}}.\sqrt[4]{.(x^{2}-x+1)^{3} }$

$\sqrt[4]{(x+1)^{3}}.\sqrt[4]{.(x^{2}-x+1)^{3} }.(x^{3}+1)^{\frac{1}{4} } .(x^{3}+1)^{\frac{3}{2} } .(x^{3}+1)^{\frac{2}{4} }$

$\sqrt[4]{(x+1)^{3}.(x^{2}-x+1)^{3} }.(x^{3}+1)^{\frac{1}{4} } .(x^{3}+1)^{\frac{3}{2}+\frac{1}{2} }$

$\sqrt[4]{[(x+1).(x^{2}-x+1)]^{3} }.(x^{3}+1)^{\frac{1}{4} } .(x^{3}+1)^{2 }$

$\sqrt[4]{(x^{3}+1)^{3} }.(x^{3}+1)^{\frac{1}{4} } .(x^{3}+1)^{2 }$

$(x^{3}+1)^{\frac{3}{4} } }.(x^{3}+1)^{\frac{1}{4} } .(x^{3}+1)^{2 }$

$(x^{3}+1)^{\frac{3}{4}+\frac{1}{4} } .(x^{3}+1)^{2 }$

$(x^{3}+1)^{\frac{4}{4}} .(x^{3}+1)^{2 }$

$(x^{3}+1) .(x^{3}+1)^{2 }$

$(x^{3} +1)^{3}$