\[\boxed{\text{1015.}\text{\ }еуроки - ответы\ на\ пятёрку}\]
\[\textbf{а)}\ 2 \cdot \left( a^{2} - 1 \right)^{2} -\]
\[- \left( a^{2} + 3 \right)\left( a^{2} - 3 \right) -\]
\[- \frac{1}{2} \cdot \left( a^{2} + a - 4 \right)\left( 2a^{2} + 3 \right) =\]
\[= 2 \cdot \left( a^{4} - 2a^{2} + 1 \right) -\]
\[- \left( a^{4} - 3a^{2} + 3a^{2} - 9 \right) - \frac{1}{2} \cdot\]
\[\cdot \left( 2a^{4} + 2a^{3} - 8a^{2} + 3a^{2} + 3a - 12 \right) =\]
\[= 2a^{4} - 4a^{2} + 2 - a^{4} + 9 -\]
\[- a^{4} - a^{3} + 2,5a^{2} - 1,5a + 6 =\]
\[= - a^{3} - 1,5a^{2} - 1,5a + 17\]
\[\textbf{б)}\ 4 \cdot \left( m^{3} - 3 \right)^{2} -\]
\[- \left( m^{2} - 6 \right)\left( m^{2} + 6 \right) - 9 \cdot\]
\[\cdot \left( 8 - m + m^{2} \right)(1 - m) =\]
\[= 4 \cdot \left( m^{6} - 6m^{3} + 9 \right) - m^{4} +\]
\[+ 36 - 9 \cdot\]
\[\cdot \left( 8 - m + m^{2} - 8m + m^{2} - m^{3} \right) =\]
\[= \ 4m^{6} - 24m^{3} + 36 - m^{4} +\]
\[+ 36 - 72 + 9m - 9m^{2} +\]
\[+ 72m - 9m^{2} + 9m^{3} =\]
\[= 4m^{6} - m^{4} - 15m^{3} -\]
\[- 18m^{2} + 81m\]