√a×√a³+2a²b+ab²

问题描述:

√a×√a³+2a²b+ab²

√a×√a³+2a²b+ab²
=√a×√a(a²+2ab+b²)
=√a²(a+b)
=la(a+b)l

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√a>=0
a>=0
√a×√(a³+2a²b+ab²)
=√a×√[a(a²+2ab+b²)]
=√a×√[a(a+b)²]
=√a×√a×√(a+b)²
=a∣(a+b)∣