已知a+b=2,ab=2,则1/2a³b+a²b²+1/2ab³的值?
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已知a+b=2,ab=2,则1/2a³b+a²b²+1/2ab³的值?
已知a+b=2,ab=2,则1/2a³b+a²b²+1/2ab³的值?
已知a+b=2,ab=2,则1/2a³b+a²b²+1/2ab³的值?
a+b=2,ab=2.
∴1/2a³b+a²b²+1/2ab³
=1/2a²(ab)+(ab)²+1/2(ab)b²
=a²+b²+4
=(a+b)²-2ab+4
=4-4+4=4.
原式=1/2 ab(a²+2ab+b²)
=1/2×ab(a+b)²
=1/2×2×2²
=4
1/2a³b+a²b²+1/2ab³
=(1/2)(a³b+2a²b²+ab³)
=(1/2)ab(a²+2ab+b²)
=(1/2)ab(a+b)²
=(1/2)×2×2²
=4