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先化简,再求值:a2-2ab+b2∕a2-b2+b∕a+b,其中a=-2,b=1
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(a2+2ab+b2/a2-2ab+b2)3次方 ×(b2-a2/a+b)3次方,
= [ (a+b)²/(a-b)²]³ × [-(a+b)(a-b)/(a+b)]³
= - [ (a+b)²/(a-b)² × (a+b)(a-b)/(a+b) ]³
= - [ (a+b)²/(a-b) ]³
代入a=2,b=-1:
= - [ (2-1)²/(2+1) ]³
= -1/27
= [ (a+b)²/(a-b)²]³ × [-(a+b)(a-b)/(a+b)]³
= - [ (a+b)²/(a-b)² × (a+b)(a-b)/(a+b) ]³
= - [ (a+b)²/(a-b) ]³
代入a=2,b=-1:
= - [ (2-1)²/(2+1) ]³
= -1/27
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