guzmanmelinda468
guzmanmelinda468 guzmanmelinda468
  • 23-10-2020
  • Mathematics
contestada

x^4y^2 - 6xyz + 9z^2=​

Respuesta :

babykoo9197
babykoo9197 babykoo9197
  • 23-10-2020

Answer:

(xy+3z) 2 (The two is small just saying)

Step-by-step explanation:

Step 1:

(((x2) • (y2)) +  6xyz) +  32z2

Step 2:

2.1    Factoring    x2y2 + 6xyz + 9z2

Try to factor this multi-variable trinomial using trial and error

Found a factorization  :  (xy + 3z)•(xy + 3z)

Step 3:

2.2    x2y2  +6xyz  +9z2  is a perfect square

It factors into  (xy+3z)•(xy+3z)

which is another way of writing  (xy+3z)2

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