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[tex]( \ frac{5}{2} x ^ {2n + 1} y ^ {n - 2} + \ frac{3}{4} x ^ {n - 1} x ^ {n}) ^ {2} [ / tex] ES DE PRODUCTOS NOTABLES?

[tex]( \ frac{5}{2} x ^ {2n + 1} y ^ {n - 2} + \ frac{3}{4} x ^ {n - 1} x ^ {n}) ^ {2} [ / tex] ES DE PRODUCTOS NOTABLES.

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<img src="https://tex.z-dn.net/?f=%5Cleft%28%5Cfrac%7B5%7D%7B2%7Dx%5E%7B2n%2B1%7Dy%5E%7Bn-2%7D%2B%5Cfrac%7B3%7D%7B4%7Dx%5E%7Bn-1%7Dx%5En%5Cright%29%5E2" />

<img src="https://tex.z-dn.net/?f=%5Cmathrm%7BAplicar%5C%3Alas%5C%3Aleyes%5C%3Ade%5C%3Alos%5C%3Aexponentes%7D%3A%5Cquad%20%5C%3Aa%5Eb%5Ccdot%20%5C%3Aa%5Ec%3Da%5E%7Bb%2Bc%7D" />

<img src="https://tex.z-dn.net/?f=x%5Enx%5E%7Bn-1%7D%3D%5C%3Ax%5E%7Bn-1%2Bn%7D%3D%5C%3Ax%5E%7B2n-1%7D" />

<img src="https://tex.z-dn.net/?f=%5Cleft%28%5Cfrac%7B5%7D%7B2%7Dx%5E%7B2n%2B1%7Dy%5E%7Bn-2%7D%2B%5Cfrac%7B3%7D%7B4%7Dx%5E%7B2n-1%7D%5Cright%29%5E2" />

<img src="https://tex.z-dn.net/?f=%5Cmathrm%7BAplicar%5C%3Ala%5C%3Asiguiente%5C%3Aregla%5C%3Ade%5C%3Aproductos%5C%3Anotables%7D%3A" /> (a + b)² = a² + 2ab + b²

<img src="https://tex.z-dn.net/?f=%3D%5Cleft%28%5Cfrac%7B5%7D%7B2%7Dx%5E%7B2n%2B1%7Dy%5E%7Bn-2%7D%5Cright%29%5E2%2B2%5Ccdot%20%5Cfrac%7B5%7D%7B2%7Dx%5E%7B2n%2B1%7Dy%5E%7Bn-2%7D%5Cfrac%7B3%7D%7B4%7Dx%5E%7B2n-1%7D%2B%5Cleft%28%5Cfrac%7B3%7D%7B4%7Dx%5E%7B2n-1%7D%5Cright%29%5E2" />

<img src="https://tex.z-dn.net/?f=%5Cleft%28%5Cfrac%7B5%7D%7B2%7Dx%5E%7B2n%2B1%7Dy%5E%7Bn-2%7D%5Cright%29%5E2%3Dx%5E%7B4n%2B2%7Dy%5E%7B2n-4%7D%5Cfrac%7B25%7D%7B4%7D" />

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<img src="https://tex.z-dn.net/?f=%5Cleft%28%5Cfrac%7B3%7D%7B4%7Dx%5E%7B2n-1%7D%5Cright%29%5E2%3Dx%5E%7B4n-2%7D%5Cfrac%7B9%7D%7B16%7D" />

<img src="https://tex.z-dn.net/?f=%3Dx%5E%7B4n%2B2%7Dy%5E%7B2n-4%7D%5Cfrac%7B25%7D%7B4%7D%2Bx%5E%7B4n%7Dy%5E%7Bn-2%7D%5Cfrac%7B15%7D%7B4%7D%2Bx%5E%7B4n-2%7D%5Cfrac%7B9%7D%7B16%7D" />.