Question

Use the formula a2-b2=(a+b)(a-b) to factor completely.what are the factors of 36x8-49

Answer 1

`\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)`