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已知a^2+4a+b^2-8b+20=0,求代数式(a+3b)(5a-b)+7ab的值
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a^2+4a+b^2-8b+20=0
(a²+4a+4)+(b²-8b+16)=0
(a+2)²+(b-4)²=0
a+2=0, b-4=0
a=-2,b=4
(a+3b)(5a-b)+7ab
=(-2+12)×﹙-10-4)+7×(-2)×4
=-140-56
=-196
(a²+4a+4)+(b²-8b+16)=0
(a+2)²+(b-4)²=0
a+2=0, b-4=0
a=-2,b=4
(a+3b)(5a-b)+7ab
=(-2+12)×﹙-10-4)+7×(-2)×4
=-140-56
=-196
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