Chia đa thức cho đơn thức:
[4(a-b)^7-3(a-b)^5+2(a-b)^2]:5(a-b)^2
Chia đa thức cho đơn thức: [4(a-b)^7-3(a-b)^5+2(a-b)^2]:5(a-b)^2
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Nick
Giải thích các bước giải:
Ta có:
\(\begin{array}{l}
4.{\left( {a – b} \right)^7} – 3.{\left( {a – b} \right)^5} + 2.{\left( {a – b} \right)^2}\\
= {\left( {a – b} \right)^2}.\left[ {4.{{\left( {a – b} \right)}^5} – 3.{{\left( {a – b} \right)}^3} + 2} \right]\\
\Rightarrow \left[ {4.{{\left( {a – b} \right)}^7} – 3.{{\left( {a – b} \right)}^5} + 2.{{\left( {a – b} \right)}^2}} \right]:{\left( {a – b} \right)^2}\\
= {\left( {a – b} \right)^2}.\left[ {4.{{\left( {a – b} \right)}^5} – 3.{{\left( {a – b} \right)}^3} + 2} \right]:{\left( {a – b} \right)^2}\\
= 4.{\left( {a – b} \right)^5} – 3.{\left( {a – b} \right)^3} + 2
\end{array}\)