\(=3x^5-2x^4+x^3+6x^3-4x^2+2x+9x^2-6x+3-3x^4-6x^2-4x^3+4x=3x^5-5x^4+3x^3-x^2+3\)

Vậy bth phụ thuộc vào biến x 

\(\dfrac{x^4-3x^3-3x^2+8x-5}{x-1}=\dfrac{x^3\left(x-1\right)-3x^2+3x+5x-5}{x-1}=\dfrac{x^3\left(x-1\right)-3x\left(x-1\right)+5\left(x-1\right)}{x-1}=x^3-3x+5\)

Thay x = 1 vào ta được 

\(1-m^2+m-7-3m^2+3m+6=0\Leftrightarrow-4m^2+4m=0\Leftrightarrow-4m\left(m-1\right)=0\Leftrightarrow m=0;m=1\)

\(5.5\sqrt{a^2}-25a=25\left|a\right|-25a=-25a-25a=-50a\)

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\(A=\left|x-2022\right|+\left|2023-x\right|\ge\left|x-2022+2023-x\right|=1\)

Dấu ''='' xảy ra khi \(2022\le x\le2023\)

\(-\left(x^2-\dfrac{2.3}{2}x+\dfrac{9}{4}-\dfrac{9}{4}\right)+7=-\left(x-\dfrac{3}{2}\right)^2+\dfrac{37}{4}\le\dfrac{37}{4}\)

Dấu ''='' xảy ra khi x = 3/2