Question

1. x2+49y2z2 + 14xyz – 9

3. Factorizar:(x2+y3)(x2–y3) + z5(2y3 – z5)

5. Señale los factores primos de:9x4 + 6x2 – 16 z8 + 1

7. Factorizar:P(x,y) = x4 – y4

9. Factorizar: (5x + 3)2
– (3x – 5)2

Answer 1

1. Factorizar.

x⁴ + 49y²z² + 14xyz - 9
        TCP

(x + 7xz)² - 9

(x + 7yz + 3) ( x + 7yz - 3) <===== respuesta


3. Factorizar:

(x²+y³)(x²–y³) + z⁵(2y³ – z⁵)
   L       L

L² (2y⁵ - z⁵ + z⁵) 
↓
(x² - y³) (2y⁵ - z⁵ + z⁵) 
(x² - y³) (2y⁵ - 2z¹°) <==== respuesta 

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7. Factorizar: P(x,y) = x⁴– y4

P(x,y) = x⁴– y⁴

P(x,y) = (x⁴– y⁴)

P(x,y) = (x² - y²) (x² + y²)  <==== diferencia de cuadrados. 

P(x,y) = (x² - y²) (x + y) (x + y) <==== respuesta 

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9. Factorizar: (5x + 3)²  -  (3x – 5)²