kivgchristian
kivgchristian kivgchristian
  • 22-06-2018
  • Mathematics
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Use the formula a2-b2=(a+b)(a-b) to factor completely.what are the factors of 36x8-49

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jdoe0001 jdoe0001
  • 22-06-2018
[tex]\bf \textit{difference of squares} \\\\ (a-b)(a+b) = a^2-b^2\\\\ -------------------------------\\\\ 36x^8-49\implies 6^2x^{4\cdot 2}-7^2\implies 6^2(x^4)^2-7^2\implies (6x^4)^2-7^2 \\\\\\ (6x^4-7)(6x^4+7)[/tex]
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