Ayudarme a resolver estos ejercicios por favor , gracias?

Respuesta : Las respuestas están resaltadas en cada inciso.

- Explicación paso a paso : Hola!

Vamos a responder cada inciso.

Establezca cuál propiedad de número reales se usa : <img src="https://tex.z-dn.net/?f=1%29%202%28x%2By%29%3D2x%2B2y%5Cto%20%24Propiedad%20Distributiva%20del%20producto%20con%20respecto%20a%20la%20suma%5C%5C%5C%5C2%29%28x%2B5%29%2By%3Dy%2B%28x%2B5%29%5Cto%24Propiedad%20Conmutativa%20%28cambia%20de%20lugar%29de%20la%20adicion%28suma%29%20%20%5C%5C%5C%5C3%292%283y%29%3D%282.3%29y%5Cto%20%24Propiedad%20asociativa%20del%20producto" /><img src="https://tex.z-dn.net/?f=4%29%5Cfrac%7B6%7D%7B7%7D%3D6.%5Cfrac%7B1%7D%7B7%7D%5Cto%20Propiedad%20%5C%20elemento%5C%20Neutro%5C%20del%5C%20producto%5C%5C%5C%5C5%292%28x-y%29%3D%28x-y%292%5Cto%20Propiedad%20%5C%20Conmutativa%20%5C%20del%5C%20producto%5C%5C%5C%5C6%29y%2B%28x%2By%29%3D%28y%2Bx%29%2By%5Cto%20Propiedad%20%5CAsociativa%5C%20de%20%5C%20la%5C%20adicion" />Expresiones Algebraicas : Realice las operaciones indicadas y simplifique<img src="https://tex.z-dn.net/?f=1%29%288x-4y%2B2%29%2B%283x%2B2y-5%29%3D%5C%5C%5C%5C8x%2B3x-4y%2B2y%2B2-5%3D%20%5Cquad%20Juntamos%5C%20los%5C%20semejantes%20%5C%20y%20%5C%20resolvemos%5C%5C%5C%5C%5Cbold%7B11x-2y-3%7D%5C%5C%5C%5C%5C%5C2%29%286x%5E2-10xy%2B2%29%2B%282z-xy%2B4%29%3D%5C%5C%5C%5C6x%5E2-10xy-xy%2B2z%2B2%2B4%3D%5C%5C%5C%5C%5Cbold%7B6x%5E2-11xy%2B2z%2B6%7D%5C%5C%5C%5C%5C%5C3%29%20%288t%5E2-6s%5E2%29%2B%284s%5E2-2t%5E2%2B6%29%3D%20%5C%5C%5C%5C8t%5E2-2t%5E2-6s%5E2%2B4s%5E2%2B6%3D%20%5Cbold%7B6t%5E2-2s%5E2%2B6%7D%5C%5C%5C%5C%5C%5C4%29%28%5Csqrt%7Bx%7D%2B2%5Csqrt%7Bx%7D%29%2B%28%20%5Csqrt%7Bx%7D%2B3%20%5Csqrt%7Bx%7D%29%3D%5C%5C%5C%5C3%5Csqrt%7Bx%7D%2B4%5Csqrt%7Bx%7D%3D%5Cbold%7B7%5Csqrt%7Bx%7D%7D" /><img src="https://tex.z-dn.net/?f=5%29%28%5Csqrt%7Bx%7D%2B%5Csqrt%7B2y%7D%29%2B%28%5Csqrt%7Bx%7D%2B%5Csqrt%7B3z%7D%29%3D%5Cbold%7B2%5Csqrt%7Bx%7D%2B%5Csqrt%7B2y%7D%2B%20%5Csqrt%7B3z%7D%7D%5C%5C%5C%5C6%29%282x%2B3y-5%29-%287x-6y%2B2%29%3D%5C%5C%5C%5C2x%2B3y-5-7x%2B6y-2%3D%20%5Cquad%20cambian%20%5C%20los%20%5C%20signos%20%5C%20por%20%5C%20el%20%5C%20-%5C%5C%5C%5C%5Cbold%7B-5x%2B9y-7%7D%5C%5C%5C%5C7%29%286x%5E2-10xy%2B%5Csqrt%7B2%7D%29-%282x-xy%2B4%29%3D%5C%5C%5C%5C6x%5E2-10xy%2B%5Csqrt%7B2%7D-2x%2Bxy-4%3D%5Cbold%7B6x%5E2-9xy%2B%5Csqrt%7B2%7D-2x-4%7D%5C%5C%5C%5C8%29%28%5Csqrt%7Bx%7D%2B2%5Csqrt%7Bx%7D%29-%28%5Csqrt%7Bx%7D%2B3%5Csqrt%7Bx%7D%29%3D3%5Csqrt%7Bx%7D-4%5Csqrt%7Bx%7D%3D%5Cbold%7B-%5Csqrt%7Bx%7D%7D%5C%5C%5C%5C9%29%28%5Csqrt%7Bx%7D%2B%5Csqrt%7B2y%7D%29-%28%5Csqrt%7Bx%7D%2B%5Csqrt%7B3z%7D%29%3D%5Cbold%7B%5Csqrt%7B2y%7D-%5Csqrt%7B3z%7D%7D%5C%5C%5C%5C10%294%282z-w%29-3%28w-2z%29%3D%5C%5C%5C%5C8z-4w-3w%2B6z%3D%5Cbold%7B14z-7w%7D" />Factorice completamente las expresiones siguientes : <img src="https://tex.z-dn.net/?f=1%296x%2B4%3D2%283x%2B2%29%5Cto%20Factor%5C%20%20Comun%5C%5C%5C%5C2%296y%5E2-4y%3D2y%283y-2%29%5Cto%20Factor%20%5C%20Comun%5C%5C%5C%5C3%2910xy%2B5xz%3D5x%282y%2Bz%29%5Cto%20Factor%5C%20Comun%5C%5C%5C%5C4%293x%5E2y-9x%5E3y%5E3%3D3x%5E2y%281-3xy%5E2%29%5Cto%20Factor%20%5C%20Comun%5C%5C%5C%5C5%298a%5E3bc-12ab%5E3cd%2B4b%5E4c%5E2d%5E2%3D%204bcd%282a%5E3-3ab%5E2%2Bb%5E2cd%29%5Cto%20Factor%5C%20Comun%5C%5C%5C%5C6%296z%5E2t%5E3%2B3zst%5E4-12z%5E2t%5E3%3D3zt%5E3%282z%2Bs-6z%29%5C%5C%5C%5C7%29z%5E2-49%3D%28z-7%29%28z%2B7%29%5Cto%20Diferencia%20%5C%20de%5C%20Cuadrados%5C%5C%5C%5C8%29x%5E2%2B3x-4%3D%28x-4%29%28x%2B1%29%5C%5C%5C%5C9%29p%5E2%2B4p%2B3%3D%28p%2B3%29%28p%2B1%29%5C%5C%5C%5C10%29s%5E2-6s%2B8%3D%28s-4%29%28s-2%29" />

Espero que te sirva, salu2!