beasttfate beasttfate
  • 23-05-2022
  • Mathematics
contestada

Factor 27a^{3}b^{9} + 8c^{18}.Which of the following is one of the factors

Factor 27a3b9 8c18Which of the following is one of the factors class=

Respuesta :

Hrishii
Hrishii Hrishii
  • 23-05-2022

Answer:

Second option is the correct answer

[tex]\bigodot (9a^2b^6-6ab^3c^6+4c^{12})[/tex]

Step-by-step explanation:

  • [tex]27a^{3}b^{9} + 8c^{18}[/tex]

  • [tex]=(3ab^{3} )^3+ (2c^{6})^3[/tex]

  • [tex]=(3ab^{3} +2c^{6})[(3ab^3)^2-(3ab^3)(2c^6)+(2c^6)^2][/tex]

  • [tex]=(3ab^{3} +2c^{6})\orange{\bold{(9a^2b^6-6ab^3c^6+4c^{12})}}[/tex]
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