\[\boxed{\text{1028.}\text{\ }еуроки - ответы\ на\ пятёрку}\]
\[\textbf{а)}\ 3a³ - 3ab^{2} + a^{2}b - b^{3} =\]
\[= 3a\left( a^{2} - b^{2} \right) + b\left( a^{2} - b^{2} \right) =\]
\[= \left( a^{2} - b^{2} \right)(3a + b) =\]
\[= (a - b)(a + b)(3a + b)\]
\[\textbf{б)}\ 2x - a^{2}y - 2a^{2}x + y =\]
\[= 2x\left( 1 - a^{2} \right) + y\left( 1 - a^{2} \right) =\]
\[= \left( 1 - a^{2} \right)(2x + y) =\]
\[= (1 - a)(1 + a)(2x + y)\]
\[\textbf{в)}\ 3p - 2c^{3} - 3c^{3}p + 2 =\]
\[= (3p + 2) - c^{3}(3p + 2) =\]
\[= (3p + 2)\left( 1 - c^{3} \right) =\]
\[= (3p - 2)(1 - c)(1 + c + c^{2})\]
\[\textbf{г)}\ a^{4} - 24 + 8a - 3a^{3} =\]
\[= a\left( a^{3} + 8 \right) - 3 \cdot \left( a^{3} + 8 \right) =\]
\[= \left( a^{3} + 8 \right)(a - 3) =\]
\[= (a + 2)(a^{2} - 2a + 4)(a - 3)\ \]