1/2(A+B)-1/3(A-B)=?按x降幂排列

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1/2(A+B)-1/3(A-B)=?按x降幂排列
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1/2(A+B)-1/3(A-B)=?按x降幂排列
1/2(A+B)-1/3(A-B)=?按x降幂排列
 

1/2(A+B)-1/3(A-B)=?按x降幂排列
A+B= 1-1/2 x+3x^2-x^3+2x^3+2x^2-x-2 = x^3+5x^2-3/2x-1
A-B= 1-1/2 x+3x^2-x^3-2x^3-2x^2+x+2 = -3x^3+x^2+1/2x+3
原式= 1/2( x^3+5x^2-3/2x-1 ) -1/3 ( -3x^3+x^2+1/2x+3 )
=(1/2+1)x^3+ (5/2- 1/3) x^2 +(-3/4-1/6 )x +(-1/2 -1)
= 3/2 x^3+ 13/6 x^2 - 11/12 x -3/2