496. Выполните умножение: а) −0,2x(x⁴ − 1,6x³ + 2,3x)x²; б) 2/3 ab(0,3a² − 1,2ab + 1)a³; в) −1/9(0,5a²b² − ab + 0,9)(−ab); г) −b³(−0,3a²b − 0,4ab + 1) · 1/6a²b².

1. \(-0.2x(x^4-1.6x^3+2.3x)x^2=-0.2x^7+0.32x^6-0.46x^4\).
2. \(\frac23ab(0.3a^2-1.2ab+1)a^3=0.2a^6b-0.8a^5b^2+\frac23a^4b\).
3. \(-\frac19(0.5a^2b^2-ab+0.9)(-ab)=\frac1{18}a^3b^3-\frac19a^2b^2+0.1ab\).
4. \(-b^3(-0.3a^2b-0.4ab+1)\cdot\frac16a^2b^2=0.05a^4b^6+\frac{1}{15}a^3b^5-\frac16a^2b^5\).

Ответ: а) \(-0.2x^7+0.32x^6-0.46x^4\); б) \(0.2a^6b-0.8a^5b^2+\frac23a^4b\); в) \(\frac1{18}a^3b^3-\frac19a^2b^2+0.1ab\); г) \(0.05a^4b^6+\frac1{15}a^3b^5-\frac16a^2b^5\).