5a³- [3a - (a² + 7a - 3a³) + 6a²]
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Simplificando:
![\mathsf{=5a^3-\left[3a-\left(a^2+7a-3a^3\right)+6a^2\right]}\\\\\mathsf{=5a^3-\left(3a-a^2-7a+3a^3+6a^2\right)}\\\\\mathsf{=5a^3-3a+a^2+7a-3a^3-6a^2}\\\\\mathsf{=5a^3-3a^3+a^2-6a^2+7a-3a}\\\\\mathsf{=\boxed{\mathsf{2a^3-5a^2+4a}}}\: \: \checkmark](https://tex.z-dn.net/?f=%5Cmathsf%7B%3D5a%5E3-%5Cleft%5B3a-%5Cleft%28a%5E2%2B7a-3a%5E3%5Cright%29%2B6a%5E2%5Cright%5D%7D%5C%5C%5C%5C%5Cmathsf%7B%3D5a%5E3-%5Cleft%283a-a%5E2-7a%2B3a%5E3%2B6a%5E2%5Cright%29%7D%5C%5C%5C%5C%5Cmathsf%7B%3D5a%5E3-3a%2Ba%5E2%2B7a-3a%5E3-6a%5E2%7D%5C%5C%5C%5C%5Cmathsf%7B%3D5a%5E3-3a%5E3%2Ba%5E2-6a%5E2%2B7a-3a%7D%5C%5C%5C%5C%5Cmathsf%7B%3D%5Cboxed%7B%5Cmathsf%7B2a%5E3-5a%5E2%2B4a%7D%7D%7D%5C%3A+%5C%3A+%5Ccheckmark "\mathsf{=5a^3-\left[3a-\left(a^2+7a-3a^3\right)+6a^2\right]}\\\\\mathsf{=5a^3-\left(3a-a^2-7a+3a^3+6a^2\right)}\\\\\mathsf{=5a^3-3a+a^2+7a-3a^3-6a^2}\\\\\mathsf{=5a^3-3a^3+a^2-6a^2+7a-3a}\\\\\mathsf{=\boxed{\mathsf{2a^3-5a^2+4a}}}\: \: \checkmark")
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