mkellis0117 mkellis0117
  • 23-12-2018
  • Mathematics
contestada

How can I find the factor of
[tex]243 {w}^{4} z - 48z[/tex]

Respuesta :

jimrgrant1 jimrgrant1
  • 23-12-2018

Answer:

3z(3w - 2)(3w + 2)(9w² + 4)

Step-by-step explanation:

take out a common factor 3z from both terms

= 3z(81[tex]w^{4}[/tex] - 16)

81[tex]w^{4}[/tex] - 16 ← is a difference of squares

• a² - b² = (a - b)(a + b)

81[tex]w^{4}[/tex] = (9w²)² → a = 9w² and 16 = 4² → b = 4

= 3z(9w² - 4)(9w² + 4)

9w² - 4 ← is also a difference of squares with a = 3w and b = 2

= 3z(3w - 2)(3w + 2)(9[tex]w^{4}[/tex] + 4)




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