Question

Tìm a b c biết \(-3x^3.\left(2ax^2-bc+c\right)=-6x^5+9x^4-3x^3\) thỏa mãn với mọi x

Answer 1

\(-3x^3\left(2ax^2-bc+c\right)=-6x^5+9x^4-3x^3\)

\(\Leftrightarrow-3x^3\left(2ax^2-bc+c\right)=-3x^3\left(2x^2-3x+1\right)\)

\(\Rightarrow\left\{{}\begin{matrix}2ax^2=2x^2\\-bc=-3x\\c=1\end{matrix}\right.\)\(\Rightarrow\left\{{}\begin{matrix}2a=2\\-b=-3x\\c=1\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}a=1\\b=3x\\c=1\end{matrix}\right.\)

Answer 2

Nguyễn Huy Tú Đoàn Đức Hiếu nguyen van tuan Tuấn Anh Phan Nguyễn Ace Legona Hoang Hung Quan