Simplify the expression: - 9a⁷b² (- 2a³ +3b⁵ - 4a³ b³)

To simplify the expression, distribute -9a⁷b² to each term inside the parentheses:

\( (-9a^7b^2) \cdot (-2a^3) = 18a^{7+3}b^2 = 18a^{10}b^2 \)

\( (-9a^7b^2) \cdot (3b^5) = -27a^7b^{2+5} = -27a^7b^7 \)

\( (-9a^7b^2) \cdot (-4a^3b^3) = 36a^{7+3}b^{2+3} = 36a^{10}b^5 \)

Combining these terms, we get:

\( 18a^{10}b^2 - 27a^7b^7 + 36a^{10}b^5 \)

Ответ: 18a¹⁰b² - 27a⁷b⁷ + 36a¹⁰b⁵.