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\(\left(2x^{2n}+3x^{2n-1}\right)\left(x^{1-2n}-3x^{2-2n}\right)=2x^{2n}\times x^{1-2n}-2x^{2n}\times3x^{2-2n}+3x^{2n-1}\times x^{1-2n}-3x^{2n-1}\times3x^{2-2n}\)
\(=2x-6x^2+3-3x=3-x-6x^2\)
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a: \(=3x^{n+1}-2x^n-4x^n=3x^{n+1}-6x^n\)
b: \(=2x^{2n+1-2n}-6x^{2n+2-2n}+3x^{2n-1+1-2n}-9x^{2n-1+2-2n}\)
\(=2x-6x^2+3-9x\)
\(=-6x^2-7x+3\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Đặt x2n = a thì ta có
(\(2a+\frac{3a}{x}\))(\(\frac{x}{a}-\frac{3x^2}{a}\))
= (2x + 3)(1 - 3x) = 2x - 6x2 + 3 - 9x = - 6x2 - 7x + 3
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\(\left(2x^{2n}+3x^{2n-1}\right)\left(x^{1-2n}-3x^{2-2n}\right)\)
\(=2x^{2n+1-2n}-6x^{2n+2-2n}+3x^{2n-1+1-2n}-9x^{2n-1+2-2n}\)
\(=2x-6x^2+3-9x\)
\(=-6x^2-7x+3\)
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a: \(=24x^{2m-1+3-2m}y^{6-3m}-\dfrac{24}{7}y^{3n-7+6-3n}\cdot x^{3-2m}+8x^{3-2m+2m}\cdot y^{6-3n+3m}-24x^{3-2m}y^{6-2n+2}\)
\(=24x^2y^{6-3m}-\dfrac{24}{7}x^{3-2m}\cdot y^{-1}+8x^3y^{-3n+3m+6}-24x^{3-2m}y^{-2n+8}\)
b: \(=2x^{2n+1-2n}-6x^{2n+2-2n}+3x^{2n-1+1-2n}-9x^{2n-1+2-2n}\)
\(=2x-6x^2+3-9x\)
\(=-6x^2-7x+3\)
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