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计算:(1+0.43+0.29)×(0.43+0.29+0.87)-(1+0.43+0.29+0.87)×(0.43+0.29)
题目详情
计算:(1+0.43+0.29)×(0.43+0.29+0.87)-(1+0.43+0.29+0.87)×(0.43+0.29)
▼优质解答
答案和解析
令0.43+0.29=x,
则(1+0.43+0.29)×(0.43+0.29+0.87)-(1+0.43+0.29+0.87)×(0.43+0.29)
=(1+x)(x+0.7)-x(1+x+0.87)
=x2+1.7x+0.7-x2-1.87x
=0.7-0.17x
=0.7-0.17×(0.43+0.29)
=0.7-0.17×0.72
=0.7-0.1224
=0.5776
则(1+0.43+0.29)×(0.43+0.29+0.87)-(1+0.43+0.29+0.87)×(0.43+0.29)
=(1+x)(x+0.7)-x(1+x+0.87)
=x2+1.7x+0.7-x2-1.87x
=0.7-0.17x
=0.7-0.17×(0.43+0.29)
=0.7-0.17×0.72
=0.7-0.1224
=0.5776
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