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Current location：Mathematical operation > History of Mathematical Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 5×((32-26)^2+(32-19)^2+(26-32)^2+(26-19)^2+(26-18)^2+(26-17)^2+(19-32)^2+(19-26)^2+(19-14)^2+(18-26)^2+(18-17)^2+(17-26)^2+(17-18)^2+(17-14)^2+(14-19)^2+(14-17)^2) .
Question type: Mathematical calculation
Solution:
5×((32-26)^2+(32-19)^2+(26-32)^2+(26-19)^2+(26-18)^2+(26-17)^2+(19-32)^2+(19-26)^2+(19-14)^2+(18-26)^2+(18-17)^2+(17-26)^2+(17-18)^2+(17-14)^2+(14-19)^2+(14-17)^2)
=5×(6^2+(32-19)^2+(26-32)^2+(26-19)^2+(26-18)^2+(26-17)^2+(19-32)^2+(19-26)^2+(19-14)^2+(18-26)^2+(18-17)^2+(17-26)^2+(17-18)^2+(17-14)^2+(14-19)^2+(14-17)^2)
=5×(6^2+13^2+(26-32)^2+(26-19)^2+(26-18)^2+(26-17)^2+(19-32)^2+(19-26)^2+(19-14)^2+(18-26)^2+(18-17)^2+(17-26)^2+(17-18)^2+(17-14)^2+(14-19)^2+(14-17)^2)
=5×(6^2+13^2+(-6)^2+(26-19)^2+(26-18)^2+(26-17)^2+(19-32)^2+(19-26)^2+(19-14)^2+(18-26)^2+(18-17)^2+(17-26)^2+(17-18)^2+(17-14)^2+(14-19)^2+(14-17)^2)
=5×(6^2+13^2+(-6)^2+7^2+(26-18)^2+(26-17)^2+(19-32)^2+(19-26)^2+(19-14)^2+(18-26)^2+(18-17)^2+(17-26)^2+(17-18)^2+(17-14)^2+(14-19)^2+(14-17)^2)
=5×(6^2+13^2+(-6)^2+7^2+8^2+(26-17)^2+(19-32)^2+(19-26)^2+(19-14)^2+(18-26)^2+(18-17)^2+(17-26)^2+(17-18)^2+(17-14)^2+(14-19)^2+(14-17)^2)
=5×(6^2+13^2+(-6)^2+7^2+8^2+9^2+(19-32)^2+(19-26)^2+(19-14)^2+(18-26)^2+(18-17)^2+(17-26)^2+(17-18)^2+(17-14)^2+(14-19)^2+(14-17)^2)
=5×(6^2+13^2+(-6)^2+7^2+8^2+9^2+(-13)^2+(19-26)^2+(19-14)^2+(18-26)^2+(18-17)^2+(17-26)^2+(17-18)^2+(17-14)^2+(14-19)^2+(14-17)^2)
=5×(6^2+13^2+(-6)^2+7^2+8^2+9^2+(-13)^2+(-7)^2+(19-14)^2+(18-26)^2+(18-17)^2+(17-26)^2+(17-18)^2+(17-14)^2+(14-19)^2+(14-17)^2)
=5×(6^2+13^2+(-6)^2+7^2+8^2+9^2+(-13)^2+(-7)^2+5^2+(18-26)^2+(18-17)^2+(17-26)^2+(17-18)^2+(17-14)^2+(14-19)^2+(14-17)^2)
=5×(6^2+13^2+(-6)^2+7^2+8^2+9^2+(-13)^2+(-7)^2+5^2+(-8)^2+(18-17)^2+(17-26)^2+(17-18)^2+(17-14)^2+(14-19)^2+(14-17)^2)
=5×(6^2+13^2+(-6)^2+7^2+8^2+9^2+(-13)^2+(-7)^2+5^2+(-8)^2+1^2+(17-26)^2+(17-18)^2+(17-14)^2+(14-19)^2+(14-17)^2)
=5×(6^2+13^2+(-6)^2+7^2+8^2+9^2+(-13)^2+(-7)^2+5^2+(-8)^2+1^2+(-9)^2+(17-18)^2+(17-14)^2+(14-19)^2+(14-17)^2)
=5×(6^2+13^2+(-6)^2+7^2+8^2+9^2+(-13)^2+(-7)^2+5^2+(-8)^2+1^2+(-9)^2+(-1)^2+(17-14)^2+(14-19)^2+(14-17)^2)
=5×(6^2+13^2+(-6)^2+7^2+8^2+9^2+(-13)^2+(-7)^2+5^2+(-8)^2+1^2+(-9)^2+(-1)^2+3^2+(14-19)^2+(14-17)^2)
=5×(6^2+13^2+(-6)^2+7^2+8^2+9^2+(-13)^2+(-7)^2+5^2+(-8)^2+1^2+(-9)^2+(-1)^2+3^2+(-5)^2+(14-17)^2)
=5×(6^2+13^2+(-6)^2+7^2+8^2+9^2+(-13)^2+(-7)^2+5^2+(-8)^2+1^2+(-9)^2+(-1)^2+3^2+(-5)^2+(-3)^2)
=5×868
=4340
Answer:5×((32-26)^2+(32-19)^2+(26-32)^2+(26-19)^2+(26-18)^2+(26-17)^2+(19-32)^2+(19-26)^2+(19-14)^2+(18-26)^2+(18-17)^2+(17-26)^2+(17-18)^2+(17-14)^2+(14-19)^2+(14-17)^2)=4340
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 5×((32-26)^2+(32-19)^2+(26-32)^2+(26-19)^2+(26-18)^2+(26-17)^2+(19-32)^2+(19-26)^2+(19-14)^2+(18-26)^2+(18-17)^2+(17-26)^2+(17-18)^2+(17-14)^2+(14-19)^2+(14-17)^2) .
Question type: Mathematical calculation
Solution:
5×((32-26)^2+(32-19)^2+(26-32)^2+(26-19)^2+(26-18)^2+(26-17)^2+(19-32)^2+(19-26)^2+(19-14)^2+(18-26)^2+(18-17)^2+(17-26)^2+(17-18)^2+(17-14)^2+(14-19)^2+(14-17)^2)
=5×(6^2+(32-19)^2+(26-32)^2+(26-19)^2+(26-18)^2+(26-17)^2+(19-32)^2+(19-26)^2+(19-14)^2+(18-26)^2+(18-17)^2+(17-26)^2+(17-18)^2+(17-14)^2+(14-19)^2+(14-17)^2)
=5×(6^2+13^2+(26-32)^2+(26-19)^2+(26-18)^2+(26-17)^2+(19-32)^2+(19-26)^2+(19-14)^2+(18-26)^2+(18-17)^2+(17-26)^2+(17-18)^2+(17-14)^2+(14-19)^2+(14-17)^2)
=5×(6^2+13^2+(-6)^2+(26-19)^2+(26-18)^2+(26-17)^2+(19-32)^2+(19-26)^2+(19-14)^2+(18-26)^2+(18-17)^2+(17-26)^2+(17-18)^2+(17-14)^2+(14-19)^2+(14-17)^2)
=5×(6^2+13^2+(-6)^2+7^2+(26-18)^2+(26-17)^2+(19-32)^2+(19-26)^2+(19-14)^2+(18-26)^2+(18-17)^2+(17-26)^2+(17-18)^2+(17-14)^2+(14-19)^2+(14-17)^2)
=5×(6^2+13^2+(-6)^2+7^2+8^2+(26-17)^2+(19-32)^2+(19-26)^2+(19-14)^2+(18-26)^2+(18-17)^2+(17-26)^2+(17-18)^2+(17-14)^2+(14-19)^2+(14-17)^2)
=5×(6^2+13^2+(-6)^2+7^2+8^2+9^2+(19-32)^2+(19-26)^2+(19-14)^2+(18-26)^2+(18-17)^2+(17-26)^2+(17-18)^2+(17-14)^2+(14-19)^2+(14-17)^2)
=5×(6^2+13^2+(-6)^2+7^2+8^2+9^2+(-13)^2+(19-26)^2+(19-14)^2+(18-26)^2+(18-17)^2+(17-26)^2+(17-18)^2+(17-14)^2+(14-19)^2+(14-17)^2)
=5×(6^2+13^2+(-6)^2+7^2+8^2+9^2+(-13)^2+(-7)^2+(19-14)^2+(18-26)^2+(18-17)^2+(17-26)^2+(17-18)^2+(17-14)^2+(14-19)^2+(14-17)^2)
=5×(6^2+13^2+(-6)^2+7^2+8^2+9^2+(-13)^2+(-7)^2+5^2+(18-26)^2+(18-17)^2+(17-26)^2+(17-18)^2+(17-14)^2+(14-19)^2+(14-17)^2)
=5×(6^2+13^2+(-6)^2+7^2+8^2+9^2+(-13)^2+(-7)^2+5^2+(-8)^2+(18-17)^2+(17-26)^2+(17-18)^2+(17-14)^2+(14-19)^2+(14-17)^2)
=5×(6^2+13^2+(-6)^2+7^2+8^2+9^2+(-13)^2+(-7)^2+5^2+(-8)^2+1^2+(17-26)^2+(17-18)^2+(17-14)^2+(14-19)^2+(14-17)^2)
=5×(6^2+13^2+(-6)^2+7^2+8^2+9^2+(-13)^2+(-7)^2+5^2+(-8)^2+1^2+(-9)^2+(17-18)^2+(17-14)^2+(14-19)^2+(14-17)^2)
=5×(6^2+13^2+(-6)^2+7^2+8^2+9^2+(-13)^2+(-7)^2+5^2+(-8)^2+1^2+(-9)^2+(-1)^2+(17-14)^2+(14-19)^2+(14-17)^2)
=5×(6^2+13^2+(-6)^2+7^2+8^2+9^2+(-13)^2+(-7)^2+5^2+(-8)^2+1^2+(-9)^2+(-1)^2+3^2+(14-19)^2+(14-17)^2)
=5×(6^2+13^2+(-6)^2+7^2+8^2+9^2+(-13)^2+(-7)^2+5^2+(-8)^2+1^2+(-9)^2+(-1)^2+3^2+(-5)^2+(14-17)^2)
=5×(6^2+13^2+(-6)^2+7^2+8^2+9^2+(-13)^2+(-7)^2+5^2+(-8)^2+1^2+(-9)^2+(-1)^2+3^2+(-5)^2+(-3)^2)
=5×868
=4340
Answer:5×((32-26)^2+(32-19)^2+(26-32)^2+(26-19)^2+(26-18)^2+(26-17)^2+(19-32)^2+(19-26)^2+(19-14)^2+(18-26)^2+(18-17)^2+(17-26)^2+(17-18)^2+(17-14)^2+(14-19)^2+(14-17)^2)=4340