Đáp án:
\(\begin{array}{l}
a) - 2{x^2} + 11x\\
c) - 3\\
b){x^3} + 19\\
d) - 12x + 22
\end{array}\)
Giải thích các bước giải:
\(\begin{array}{l}
a){x^3} - 6{x^2} + 12x - 8 - {x^3} - {x^2} - x + 5{x^2} + 8\\
= - 2{x^2} + 11x\\
c){x^3} - 6{x^2} + 12x - 8 - {x^3} - 1 + 6\left( {{x^2} - 2x + 1} \right)\\
= - 6{x^2} + 12x - 9 + 6{x^2} - 12x + 6\\
= - 3\\
b){x^3} + 9{x^2} + 27x + 27 - 9\left( {{x^2} + 2x + 1} \right) - 9x + 1\\
= {x^3} + 9{x^2} + 18x + 28 - 9{x^2} - 18x - 9\\
= {x^3} + 19\\
d){x^3} + 8 - \left( {{x^3} - 6{x^2} + 12x - 8} \right) - 6\left( {{x^2} - 1} \right)\\
= {x^3} + 8 - {x^3} + 6{x^2} - 12x + 8 - 6{x^2} + 6\\
= - 12x + 22
\end{array}\)
