问题
解答题
已知a2+b2-8a•sin30°-2b•tan45°+5×(-2)0=0,先化简
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答案
∵a2+b2-8a•sin30°-2b•tan45°+5×(-2)0
=a2+b2-8a•
-2b•1+5×11 2
=a2+b2-4a-2b+5
=(a-2)2+(b-1)2=0,
∴a=2,b=1.
=a3-4ab2 a2-3ab+2b2
=a(a+2b)(a-2b) (a-2b)(a-b) a(a+2b) a-b
=
=8.2×(2+2×1) 2-1