x+y=-3,xy=-2,求x³y²+x²y³的值

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x+y=-3,xy=-2,求x³y²+x²y³的值x+y=-3,xy=-2,求x³y²+x²y³的值x+y=-3,xy=

x+y=-3,xy=-2,求x³y²+x²y³的值
x+y=-3,xy=-2,求x³y²+x²y³的值

x+y=-3,xy=-2,求x³y²+x²y³的值
答:
x+y=-3,xy=-2
x³y²+x²y³
=x²y²(x+y)
=(-2)*(-2)*(-3)
=-12

x+y=-3,xy=-2,求x³y²+x²y³的值
x³y²+x²y³
= x²y² (x+y )
= (xy) ² (x+y)
= (-2 ) ² x (-3)
= 4 x (-3)
= -12
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x+y=-3,xy=-2,求x³y²+x²y³的值
x³y²+x²y³
= x²y² (x+y )
= (xy) ² (x+y)
= (-2 ) ² x (-3)
= 4 x (-3)
= -12
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x³y²+x²y³
=(xy)²·x+(xy)²·y
=(xy)²(x+y)
因为
x+y=-3,xy=-2,
所以原式等于-12