① 15又2/3*(-14又1/3) ② [2x^2-(x+y)(x-y)][(z-x)(x+z)+(y-z)(y+z)

3个回答

  • ①15又2/3*(-14又1/3)=47/3×(-43/3)=-2021/9

    ② [2x^2-(x+y)(x-y)][(z-x)(x+z)+(y-z)(y+z)]

    =(2x²-x²+y²)(z²-x²+y²-z²)

    =(x²+y²)(y²-x²)

    =y^4-x^4

    ③ (a-2b+3c)(a+2b-3c)

    =[a-(2b-3c)][a+(2b-3c)]

    =a²-(2b-3c)²

    =a²-4b²+12bc-9c²

    ④60又1/3*59又2/3

    =64/3*179/3

    =11456/9

    ⑤已知(a+b)^2=7,(a-b)^2=4,求a^2+b^2和ab的值

    (a+b)²=7

    a²+2ab+b²=7 ①

    (a-b)²=4

    a²-2ab+b²=4 ②

    把①-②得:

    4ab=3

    ab=3/4

    把①+②得:

    2(a²+b²)=11

    a²+b²=11/2

    ⑥在实数范围内因式分解a^4-4a^2+4=(a²-2)²=(a-√2)²(a+√2)²