因式分解 提公因式法 1.已知x-y=2 x的二次方减y的2次方=6 求xy的值 2.试说明,若

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  • x-y=2,x^2-y^2=(x-y)(x+y)=6,所以把x-y=2代入得2*(x+y)=6,所以x+y=3,由x-y=2,x+y=3两式可得x=5/2,y=1/2

    (2a+1)^2-1=4a^2+4a+1-1=4a^2+4a=4a(a+1)所以,当a为偶数时则4a可被8整除,4a(a+1)也可被8整除,当当a为奇数时则4(a+1)可被8整除,4a(a+1)也可被8整除.所以(2a+1)的二次方-1能被8整除

    设甲年龄为x,乙年龄为y,丙年龄为z,则x-y-z=16,x^2-(y+z)^2=1632,x^2-(y+z)^2=(x+y+z)(x-y-z)=1632,又已知x-y-z=16,代入x^2-(y+z)^2=(x+y+z)(x-y-z)=1632,得16*(x+y+z)=1632,得x+y+z=1632/16=102