(2.15﹢5.17+3.62)×(5.17+2.15+8.5)-(3.62+2.15+8.5+5.17)×(2.15+

1个回答

  • 原式=[(2.15+5.17)+3.62]×[(2.15+5.17)+8.5]-[3.62+8.5+(2.15+5.17)]×(2.15+5.17)

    =(2.15+5.17)²+3.62×(2.15+5.17)+8.5×(2.15+5.17)+3.62×8.5-[3.62×(2.15+5.17)+8.5×(2.15+5.17)+(2.15+5.17)²]

    =(2.15+5.17)²+3.62×(2.15+5.17)+8.5×(2.15+5.17)+3.62×8.5-3.62×(2.15+5.17)-8.5×(2.15+5.17)-(2.15+5.17)²

    =3.62×8.5

    =3.62×(9-0.5)

    =3.62×9-3.62×0.5

    =32.58-1.81

    =30.77

    或者:

    令a=2.15+3.17

    原式=(a+3.62)×(a+8.5)-(3.62+8.5+a)×a

    =a²+3.62a+8.5a+3.62×8.5-(3.62a+8.5a+a²)

    =a²+3.62a+8.5a+3.62×8.5-3.62a-8.5a-a²

    =3.62×8.5

    =3.62×(9-0.5)

    =3.62×9-3.62×0.5

    =32.58-1.81

    =30.77