Question

ДАЮ 35 БАЛЛОВ!!! Помогите

Answer 1

Ответ: №1 , №3 , №4 .

$\boxed{\ (a\pm b)^2=a^2\pm 2ab+b^2\ \ ,\ \ a^2-b^2=(a-b)(a+b)\ ,\ \ a^{n\cdot k}=(a^{n})^{k}\ }\\\\\\(t^6+u^6)^2-(t^6-u^6)^2-t^2u^2=\\\\=t^{12}+2t^6u^6+u^{12}-(t^{12}-2t^6u^6+u^{12})-t^2u^2=\\\\=4t^6u^6-t^2u^2=\underline{t^2u^2\cdot (4t^4u^4-1)}=\underline{t^2u^2\cdot (2t^2u^2-1)\cdot (2y^2u^2+1)\ }\\\\\\...=4t^6u^6-t^2u^2=(2t^3u^3)^2-(tu)^2=\underline{(2t^3u^3-tu)\cdot (2t^3u^3+tu)\ }$