(3.15+2.17+5.61)*(2.17+5.61+6.6)—(3.15+2.17+5.61+6.6)*(2.17+5.61)
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(3.15+2.17+5.61)*(2.17+5.61+6.6)—(3.15+2.17+5.61+6.6)*(2.17+5.61)
(3.15+2.17+5.61)*(2.17+5.61+6.6)—(3.15+2.17+5.61+6.6)*(2.17+5.61)
(3.15+2.17+5.61)*(2.17+5.61+6.6)—(3.15+2.17+5.61+6.6)*(2.17+5.61)
令3.15+2.17+5.61=x
令2.17+5.61=y
所以原式变成
x(y+6.6)-(x+6.6)y
=xy+6.6x-xy-6.6y
=6.6(x-y)
=6.6×[(3.15+2.17+5.61)-(2.17+5.61)]
=6.6×3.15
=20.79
(3.15+2.17+5.61)*(2.17+5.61+6.6)—(3.15+2.17+5.61+6.6)*(2.17+5.61)
=(3.15+2.17+5.61)*(2.17+5.61+6.6)—(3.15+2.17+5.61)*(2.17+5.61)—6.6*(2.17+5.61)
=(3.15+2.17+5.61)(2.17+5.61+6.6-2.17-5.61)—6....
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(3.15+2.17+5.61)*(2.17+5.61+6.6)—(3.15+2.17+5.61+6.6)*(2.17+5.61)
=(3.15+2.17+5.61)*(2.17+5.61+6.6)—(3.15+2.17+5.61)*(2.17+5.61)—6.6*(2.17+5.61)
=(3.15+2.17+5.61)(2.17+5.61+6.6-2.17-5.61)—6.6*(2.17+5.61)
=(3.15+2.17+5.61)*6.6-6.6*(2.17+5.61)
=6.6*(3.15+2.17+5.61-2.17-5.61)
=6.6*3.15
=20.79
收起
设:3.15+2.17+5.61=A
2.17+5.61=B
原式=A*(B+6.6)-(A+6.6)*B
=A*B+6.6*A-A*B-6.6*B
=6.6*(A-B)
∵A-B=(3.15+2.17+5.61)-(2.17+5.61)=3.15
∴6.6*(A-B)=6.6*3.15=20.79