\[\boxed{\text{1026.}\text{\ }еуроки - ответы\ на\ пятёрку}\]
\[\textbf{а)}\ 2x^{8} - 12x^{4} + 18 = 2 \cdot\]
\[\cdot \left( x^{8} - 6x^{4} + 9 \right) = 2 \cdot (x^{4} - 3)²\]
\[\textbf{б)} - 2a^{6} - 8a^{3}b - 8b^{2} = - 2 \cdot\]
\[\cdot \left( a^{6} + 4a^{3}b + 4b^{2} \right) =\]
\[= - 2 \cdot (a^{3} + 2b)²\]
\[\textbf{в)}\ a^{4}b + 6a²b³ + 9b^{5} =\]
\[= b\left( a^{4} + 6a^{2}b^{2} + 9b^{4} \right) =\]
\[= b(a^{2} + 3b^{2})²\]
\[\textbf{г)}\ 4x + 4xy^{6} + xy^{12} =\]
\[= x\left( 4 + 4 \cdot y^{6} + y^{12} \right) =\]
\[= x(2 + y^{6})²\]