Simplificar√(2x ^ 2 - 4xy + 2y ^ 2)?
Simplificar √(2x ^ 2 - 4xy + 2y ^ 2).
Simplificar √(2x ^ 2 - 4xy + 2y ^ 2).
En resumen
Simplificar <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B2x%5E2-4xy%2B2y%5E2%7D%20" /> <img src="https://tex.z-dn.net/?f=%20%5Cmathrm%7BFactorizar%7D%5C%3A2x%5E2-4xy%2B2y%5E2%20" /> <img src="https://tex.z-dn.net/?
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Simplificar
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B2x%5E2-4xy%2B2y%5E2%7D%20" />
<img src="https://tex.z-dn.net/?f=%20%5Cmathrm%7BFactorizar%7D%5C%3A2x%5E2-4xy%2B2y%5E2%20" />
<img src="https://tex.z-dn.net/?f=%20%5Cmathrm%7BReescribir%5C%3A%7D4%5Cmathrm%7B%5C%3Acomo%5C%3A%7D2%5Ccdot%20%5C%3A2%20" />
<img src="https://tex.z-dn.net/?f=%20%3D2x%5E2-2%5Ccdot%20%5C%3A2xy%2B2y%5E2%20" />
<img src="https://tex.z-dn.net/?f=%20%5Cmathrm%7BFactorizar%5C%3Ael%5C%3Atermino%5C%3Acomun%5C%3A%7D2%20" />
<img src="https://tex.z-dn.net/?f=%202%5Cleft%28x%5E2-2xy%2By%5E2%5Cright%29%20" />
<img src="https://tex.z-dn.net/?f=%20%5Cmathrm%7BFactorizar%7D%5C%3Ax%5E2-2xy%2By%5E2%3A%5Cquad%20%5Cleft%28x-y%5Cright%29%5Cleft%28x-y%5Cright%29%20" />
<img src="https://tex.z-dn.net/?f=%20%3D2%5Cleft%28x-y%5Cright%29%5Cleft%28x-y%5Cright%29%20" />
<img src="https://tex.z-dn.net/?f=%20%5Cmathrm%7BSimplificar%7D%20" />
<img src="https://tex.z-dn.net/?f=%20%3D2%5Cleft%28x-y%5Cright%29%5E2%20" />
[img = 10]
[img = 11]
[img = 12]
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[img = 14]
[img = 15]
[img = 16].
Samleonar
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%7B2x%7D%5E%7B2%7D%20-%204xy%20%2B%20%7B2y%7D%5E%7B2%7D%20%7D%20" />
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%28%20%5Csqrt%7B2x%7D%20-%20%5Csqrt%7B2y%7D%29%20%5E%7B2%7D%20%7D%20" />
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B2x%7D%20-%20%5Csqrt%7B2y%7D%20" />
●Espero haberte ayudado.
Y = (x) ( 30 - x) = y = 30x - x ^ 2 y = 30x - x ^ 2, x€R Espero te sirva.
Recordemos que suma por diferencia es diferencia de cuadrados por lo tanto (x + y) (x - y) = x2 - y2y luego tenemos una entidad notable (x + y)2 = x2 + 2xy + y2 ya que se resuelve siguiendo (a + b)2 = a2 + 2ab + b2ahora…