Simplify the expression: (6α⁵ - 2α³ - α²) · (-4α⁴)

To simplify the expression, distribute -4α⁴ to each term inside the parentheses:

\( (6α^5) \cdot (-4α^4) = -24α^{5+4} = -24α^9 \)

\( (-2α^3) \cdot (-4α^4) = 8α^{3+4} = 8α^7 \)

\( (-α^2) \cdot (-4α^4) = 4α^{2+4} = 4α^6 \)

Combining these terms, we get:

\( -24α^9 + 8α^7 + 4α^6 \)

Ответ: -24α⁹ + 8α⁷ + 4α⁶.