Ayudaaaaa ?

Utilicemos la siguiente identidad

<img src="https://tex.z-dn.net/?f=%28a%2Bb%2Bc%29%5E5%5Cequiv%5C%5C%20%5C%5C%0Aa%5E5%2Bb%5E5%2Bc%5E5%2B5%28a%2Bb%29%28a%2Bc%29%28b%2Bc%29%28a%5E2%2Bb%5E2%2Bc%5E2%2Bab%2Bac%2Bbc%29%0A" />

entonces

<img src="https://tex.z-dn.net/?f=a%3D3x%2By-5z%5C%5C%0Ab%3D2z-y-2x%5C%5C%0Ac%3D3z-x%5C%5C%20%5C%5C%0A%5Ctexttt%7BVemos%20que%20%7Da%2Bb%2Bc%3D0%5Ctexttt%7B%20por%20ende%3A%7D%5C%5C%20%5C%5C%0A0%5E5%3Da%5E5%2Bb%5E5%2Bc%5E5%2B5%28a%2Bb%29%28a%2Bc%29%28b%2Bc%29%28a%5E2%2Bb%5E2%2Bc%5E2%2Bab%2Bac%2Bbc%29%5C%5C%20%5C%5C%0Aa%5E5%2Bb%5E5%2Bc%5E5%3D-5%28a%2Bb%29%28a%2Bc%29%28b%2Bc%29%28a%5E2%2Bb%5E2%2Bc%5E2%2Bab%2Bac%2Bbc%29%5C%5C%20%5C%5C%0A%5Ctexttt%7Badem%5C%27as%3A%20%7D%28a%2Bb%2Bc%29%5E2%3D0%5Cto%20a%5E2%2Bb%5E2%2Bc%5E2%3D-2%28ab%2Bbc%2Bac%29%5C%5C%20%5C%5C%20%5C%5C%0A%5Ctexttt%7Bpor%20consiguiente%3A%7D%5C%5C%20%5C%5C%0Aa%5E5%2Bb%5E5%2Bc%5E5%2B5%3D5%28a%2Bb%29%28a%2Bc%29%28b%2Bc%29%28ab%2Bac%2Bbc%29%5C%5C%20%5C%5C%20%5C%5C%0Aa%2Bb%3Dx-3z%5C%2C%2C%5C%2C%20a%2Bc%3D2x%2By-2z%5C%2C%2C%5C%2C%20b%2Bc%3D-x-y%2B5z%5C%5C%20%5C%5C%20%5C%5C%0A%5Ctexttt%7Bluego%20uno%20de%20los%20factores%20es%20%7D%5Cboxed%7Ba%2Bc%3D2x%2By-2z%7D%0A%0A" />.