Simplify the expression: 2x³y² (8x⁵y - 6y³ + 4x²)

To simplify the expression, distribute 2x³y² to each term inside the parentheses:

\( 2x^3y^2 \cdot 8x^5y = 16x^{3+5}y^{2+1} = 16x^8y^3 \)

\( 2x^3y^2 \cdot (-6y^3) = -12x^3y^{2+3} = -12x^3y^5 \)

\( 2x^3y^2 \cdot 4x^2 = 8x^{3+2}y^2 = 8x^5y^2 \)

Combining these terms, we get:

\( 16x^8y^3 - 12x^3y^5 + 8x^5y^2 \)

Ответ: 16x⁸y³ - 12x³y⁵ + 8x⁵y².