[tex]\left(2a^2-b^3\right)^3[/tex]
Aplicamos la fórmula del binomio al cubo: [tex]\left(a-b\right)^3=a^3-3a^2b+3ab^2-b^3[/tex]
[tex]\left(2a^2-b^3\right)^3=\left(2a^2\right)^3-3\left(2a^2\right)^2b^3+3\cdot \:2a^2\left(b^3\right)^2-\left(b^3\right)^3[/tex]
[tex]=\left(2a^2\right)^3-3\left(2a^2\right)^2b^3+3\cdot \:2a^2\left(b^3\right)^2-\left(b^3\right)^3[/tex]
Simplificamos [tex]\left(2a^2\right)^3-3\left(2a^2\right)^2b^3+3\cdot \:2a^2\left(b^3\right)^2-\left(b^3\right)^3: 8a^6-12a^4b^3+6a^2b^6-b^9[/tex]
[tex]\boxed{=8a^6-12a^4b^3+6a^2b^6-b^9}[/tex]
[tex]Buena\:suerte\:con\:tus\:tareas\::ProfeAndresFelipe :)[/tex]
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[tex]\left(2a^2-b^3\right)^3[/tex]
Aplicamos la fórmula del binomio al cubo: [tex]\left(a-b\right)^3=a^3-3a^2b+3ab^2-b^3[/tex]
[tex]\left(2a^2-b^3\right)^3=\left(2a^2\right)^3-3\left(2a^2\right)^2b^3+3\cdot \:2a^2\left(b^3\right)^2-\left(b^3\right)^3[/tex]
[tex]=\left(2a^2\right)^3-3\left(2a^2\right)^2b^3+3\cdot \:2a^2\left(b^3\right)^2-\left(b^3\right)^3[/tex]
Simplificamos [tex]\left(2a^2\right)^3-3\left(2a^2\right)^2b^3+3\cdot \:2a^2\left(b^3\right)^2-\left(b^3\right)^3: 8a^6-12a^4b^3+6a^2b^6-b^9[/tex]
[tex]\boxed{=8a^6-12a^4b^3+6a^2b^6-b^9}[/tex]
[tex]Buena\:suerte\:con\:tus\:tareas\::ProfeAndresFelipe :)[/tex]