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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