Simplify the expression: - 5b (b⁷ +2b³ - 6b)

To simplify the expression, distribute -5b to each term inside the parentheses:

\( -5b \cdot b^7 = -5b^{1+7} = -5b^8 \)

\( -5b \cdot 2b^3 = -10b^{1+3} = -10b^4 \)

\( -5b \cdot (-6b) = 30b^{1+1} = 30b^2 \)

Combining these terms, we get:

\( -5b^8 - 10b^4 + 30b^2 \)

Ответ: -5b⁸ - 10b⁴ + 30b².