Question

1) a⁴ - b⁴;2) a⁴-b⁸;3)a⁴-16;4)b⁴-81 ​

Answer 1

Ответ:

1) $a^{4} - b^{4} = (a^{2}-b^{2})(a^{2} +b^{2} ) = (a-b)(a+b)(a^{2} + b^{2})$

2)$a^{4} - b^{8} = (a^{2}-b^{4})(a^{2} + b^{4}) = (a-b^{2})(a+b^{2})(a^{2} + b^{4})$

3)$a^{2}-16 = (a^{2}-4)(a^{2}+4) = (a-2)(a+2)(a^{2}+4)$

4)$b^{4} -81 = (b^{2}-9)(b^{2} +9) = (b-3)(b+3)(b^{2} +9)$