已知,a⼀b=-2⼀3,求(a눀-b눀⼀ab)눀÷{(a+b)·(a-b⼀a)대}÷a⼀b눀的值

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2025-02-26 15:47:58
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回答1:

已知,a/b=-2/3,求(a²-b²/ab)²÷{(a+b)·(a-b/a)³}÷a/b²的值

(a²-b²/ab)²÷{(a+b)·(a-b/a)³}÷a/b²

=(a+b)²(a-b)²/a²b²÷{(a+b)·(a-b)³/a³}×b²/a
=(a+b)²(a-b)²/a²b²×a³/(a+b)/(a-b)³×b²/a
=(a+b)/(a-b)
=(a/b+1)/(a/b-1)
=(-2/3+1)/(-2/3-1)
=-1/5