(x-y+z)(x+y-z)等于?要求化简用平方差公式计算 另一个是1⼀2(1+1⼀2)(1+1⼀

2025-04-02 20:59:48
推荐回答(3个)
回答1:

(x-y+z)(x+y-z)=[x-(y-z)][x+(y-z)]=x^2-(y-z)^2
有数值就代入数值,你没给

1/2(1+1/2)(1+1/4)(1+1/16)
=(1-1/2)(1+1/2)(1+1/4)(1+1/16)
=(1-1/4)(1+1/4)(1+1/16)
=(1-1/16)(1+1/16)
=1-1/256
=255/256

回答2:

[x-(y-z)][x+(y-z)]=x 2 -(y-z) 2
2是平方的意思
第二个把 第一个 1|2=1-1|2

回答3:

(x-y+z)(x+y-z)
=[x-(y-z)][x+(y-z)]
=x²-(y-z)²
=x²-y²+2yz-z²

1/2(1+1/2)(1+1/4)(1+1/16)
=(1-1/2)(1+1/2)(1+14)(1+1/16)
=(1-1/4)(1+1/4)(1+1/16)
=(1-1/16)(1+1/16)
=1-1/256
=255/256