Question

Como factorizar (a⁴-b⁴)

Answer 1

$\sf a^4-b^4\\\\ a^4+2a^2b^2+b^4-2a^2b^2-2b^4\\\\ (a^2+b^2)^2-2b^2(a^2+b^2) \\\\ (a^2+b^2)\cdot [ a^2+b^2-2b^2) \\\\ (a^2+b^2)\cdot(a^2-b^2)\\\\ portanto : \\\\ \huge\boxed{\sf a^4-b^4 = (a^2+b^2)(a^2-b^2) }\checkmark$