lmed0240 lmed0240
  • 10-06-2022
  • Mathematics
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2x^16-32x^4 what is the completely factored form

2x1632x4 what is the completely factored form class=

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loneguy
loneguy loneguy
  • 10-06-2022

Answer:

B

Step-by-step explanation:

[tex]~~~2x^{16} - 32x^4\\\\ = 2x^4(x^{12} -16)\\\\=2x^4\left[(x^6)^2 - 4^2 \right]\\\\=2x^4(x^6 -4)(x^6 +4)~~~~~~~~~~~~~~~~~~;[a^2 -b^2 = (a+b)(a-b)]\\\\=2x^4\left[(x^3)^2 - 2^2\right] (x^6 +4)\\\\=2x^4(x^3 -2)(x^3 +2)(x^6 +4)[/tex]

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