(a+2b)/(a+b)+2b²/(a²-b²)
=[(a+2b)(a-b)+2b²]/[(a+b)(a-b)]
=[a²+ab-2b²+2b²]/[(a+b)(a-b)]
=(a²+ab)/[(a+b)(a-b)]
=[a(a+b)]/[(a+b)(a-b)]
=a/(a-b)
=-2/(-2-1/3)
=-2/(-7/3)
=-2×(-3/7)
=6/7
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(a+2b)/(a+b)+2b²/(a²-b²)
=[(a+2b)(a-b)+2b²]/[(a+b)(a-b)]
=[a²+ab-2b²+2b²]/[(a+b)(a-b)]
=(a²+ab)/[(a+b)(a-b)]
=[a(a+b)]/[(a+b)(a-b)]
=a/(a-b)
=-2/(-2-1/3)
=-2/(-7/3)
=-2×(-3/7)
=6/7
很高兴为您解答,【学习宝典】团队为您答题.
请点击下面的【选为满意回答】按钮.