计算:(105×95+103×97)-(107×93+101×99)=______
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(105×95+103×97)-(107×93+101×99)
=105×95+103×97-107×93-101×99
=(100+5)×(100-5)+(100+3)×(100-3)-(100+7)×(100-7)-(100+1)×(100-1)
=100×100-5×5+100×100-3×3-(100×100-7×7)-(100×100-1×1)
=100×100+100×100-100×100-100×100-25-9+49+1
=49+1-25-9
=25-9
=16.
故答案为:16.
=105×95+103×97-107×93-101×99
=(100+5)×(100-5)+(100+3)×(100-3)-(100+7)×(100-7)-(100+1)×(100-1)
=100×100-5×5+100×100-3×3-(100×100-7×7)-(100×100-1×1)
=100×100+100×100-100×100-100×100-25-9+49+1
=49+1-25-9
=25-9
=16.
故答案为:16.
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