簡便計算:2乘以56的平方+8乘以56乘以22+2乘以(44的平方)

題目:

簡便計算:2乘以56的平方+8乘以56乘以22+2乘以(44的平方)

解答:

2乘以56的平方+8乘以56乘以22+2乘以(44的平方)
2×56^2+8×56×22+2×44^2
=2×56^2+4×56×44+2×44^2
=2×(56^2+2×56×44+44^2)
=2×(56+44)^2
=2×100^2
=20000

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