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Reduzca : (x² - x + 5)(x² - x + 7) - (x² - x + 6)² porfavor es para hoy?

Reduzca : (x² - x + 5)(x² - x + 7) - (x² - x + 6)² porfavor es para hoy!

En resumen

La expresión Reducida queda : <img src="https://tex.z-dn.net/?f=%5Cleft%28x%5E2-x%2B5%5Cright%29%5Cleft%28x%5E2-x%2B7%5Cright%29-%5Cleft%28x%5E2-x%2B6%5Cright%29%5E2%3D-1" />Resolución paso a paso<img src="https://tex.z-dn.net/?

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Roblock
2

La expresión Reducida queda : <img src="https://tex.z-dn.net/?f=%5Cleft%28x%5E2-x%2B5%5Cright%29%5Cleft%28x%5E2-x%2B7%5Cright%29-%5Cleft%28x%5E2-x%2B6%5Cright%29%5E2%3D-1" />Resolución paso a paso<img src="https://tex.z-dn.net/?f=%5Cleft%28x%5E2-x%2B5%5Cright%29%5Cleft%28x%5E2-x%2B7%5Cright%29-%5Cleft%28x%5E2-x%2B6%5Cright%29%5E2%3D%5Cleft%28x%5E2-x%2B5%5Cright%29%5Cleft%28x%5E2-x%2B7%5Cright%29-%5Cleft%28x%5E2-x%2B6%5Cright%29%5Cleft%28x%5E2-x%2B6%5Cright%29" />Expandir : <img src="https://tex.z-dn.net/?f=%5Cleft%28x%5E2-x%2B5%5Cright%29%5Cleft%28x%5E2-x%2B7%5Cright%29" /><img src="https://tex.z-dn.net/?f=%5Cleft%28x%5E2-x%2B5%5Cright%29%5Cleft%28x%5E2-x%2B7%5Cright%29%3Dx%5E2x%5E2-x%5E2x%2B7x%5E2-x%5E2x%2Bxx-7x%2B5x%5E2-5x%2B5%5Ccdot%20%5C%3A7" />Expandir : <img src="https://tex.z-dn.net/?f=-%5Cleft%28x%5E2-x%2B6%5Cright%29%5Cleft%28x%5E2-x%2B6%5Cright%29" /><img src="https://tex.z-dn.net/?f=%5Cleft%28x%5E2-x%2B6%5Cright%29%5Cleft%28x%5E2-x%2B6%5Cright%29%3Dx%5E2x%5E2-x%5E2x%2B6x%5E2-x%5E2x%2Bxx-6x%2B6x%5E2-6x%2B6%5Ccdot%20%5C%3A6" />Simplificando<img src="https://tex.z-dn.net/?f=%3D-%5Cleft%28x%5E4-2x%5E3%2B13x%5E2-12x%2B36%5Cright%29" /><img src="https://tex.z-dn.net/?f=%3D-x%5E4%2B2x%5E3-13x%5E2%2B12x-36" />Entonces nos queda : <img src="https://tex.z-dn.net/?f=%3Dx%5E4-2x%5E3%2B13x%5E2-12x%2B35-x%5E4%2B2x%5E3-13x%5E2%2B12x-36" />Sumando términos similares<img src="https://tex.z-dn.net/?f=%3D-1" />.