(1+23+34)×(23+34+65)-(1+23+34+65)×(23+34)=?要简便算法!

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(1+23+34)×(23+34+65)-(1+23+34+65)×(23+34)=?要简便算法!
(1+23+34)×(23+34+65)-(1+23+34+65)×(23+34)=?要简便算法!

(1+23+34)×(23+34+65)-(1+23+34+65)×(23+34)=?要简便算法!
(1+23+34)×(23+34+65)-(1+23+34+65)×(23+34)
=(23+34)×(23+34+65)+(23+34+65)-(1+23+34+65)×(23+34)
=(23+34)×(23+34+65-1-23-34-65)+(23+34+65)
=-(23+34)+(23+34)+65
=65

令a=23+34
所以原式=(1+a)(a+65)-(1+a+65)a
=(1+a)a+65(1+a)-(1+a)a-65a
=65(1+a)-65a
=65+65a-65a
=65

(1+23+34)×(23+34+65)-(1+23+34+65)×(23+34)
= (1+23+34)×(23+34+65)-(1+23+34)x(23x34)-65x(23+34)
= (1+23+34)x(23x34)+65x(1+23+34)-(1+23+34)x(23x34)-65x(23+34)
=65x(1+23+34)-65x(23+34)
=65+65x(23+34)-65x(23+34)
=65