Ityuking
Ityuking Ityuking
  • 11-10-2021
  • Mathematics
contestada

Factor the expression completely: x^4-81

Factor the expression completely x481 class=

Respuesta :

devishri1977
devishri1977 devishri1977
  • 11-10-2021

Answer:

Step-by-step explanation:

Identity used: [tex]a^{2}-b^{2} = (a + b)(a -b)[/tex]

81 = 9*9 = 9²

a = x^2 and  b =9

Then again 9 = 3*3.In this way, (x² - 9 ) can be again factored

[tex]x^{4} - 81 = (x^{2})^{2}-9^{2}\\\\=(x^{2} + 9)(x^{2} - 9)\\\\=(x^{2}+9) (x^{2} -3^{2})\\\\= (x^{2} + 9}(x+3)(x-3)[/tex]

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