\[\boxed{\text{1016.}\text{\ }еуроки - ответы\ на\ пятёрку}\]
\[\left( a(a + 2b) + b^{2} \right)\]
\[\left( a(a - 2b) + b^{2} \right)\]
\[\left( \left( a^{2} - b^{2} \right)^{2} + 4a^{2}b^{2} \right) =\]
\[= \left( a^{2} + 2ab + b^{2} \right)\]
\[\left( a^{2} - 2ab + b^{2} \right)\]
\[\left( a^{4} - 2a^{2}b^{2} + b^{2} + 4a^{2}b^{2} \right) =\]
\[= \left( (a + b)(a - b) \right)^{2}\]
\[\left( a^{4} + 2a^{2}b^{2} + b^{2} \right) =\]
\[= \left( a^{2} - b^{2} \right)^{2}\]
\[\left( a^{4} + 2a^{2}b^{2} + b^{2} \right) =\]
\[= \left( a^{4} - 2a^{2}b^{2} + b^{2} \right)\]
\[\left( a^{4} + 2a^{2}b^{2} + b^{2} \right) =\]
\[= \left( \left( a^{2} - b^{2} \right)\left( a^{2} + b^{2} \right) \right)^{2} =\]
\[= \left( a^{4} - b^{4} \right)^{2} =\]
\[= a^{8} - 2a^{4}b^{4} + b^{8}\]