利用平方差公式计算1.(x-1/2)(x^2+1/4)(x+1/2)2.(x^4+y^4)(x^2+y^2)(x+y)(x-y)3.(3a+b-2)(3a-b+2)4.100^2/(252^2-248^2)5.(1-1/2)(1+1/2)(1+1/2^2）（1+1/2^4）（1+1/2^8)+1/2^166.(6a^2b-1)(6a^2+1)7.(1-2x)(1+2x)(1+4x^2)(1+16x^4)8.(a+b-c)(a-b+c)-a^2

利用平方差公式计算1.(x-1/2)(x^2+1/4)(x+1/2)2.(x^4+y^4)(x^2+y^2)(x+y)(x-y)3.(3a+b-2)(3a-b+2)4.100^2/(252^2-248^2)5.(1-1/2)(1+1/2)(1+1/2^2）（1+1/2^4）（1+1/2^8)+1/2^166.(6a^2b-1)(6a^2+1)7.(1-2x)(1+2x)(1+4x^2)(1+16x^4)8.(a+b-c)(a-b+c)-a^2
利用平方差公式计算
1.(x-1/2)(x^2+1/4)(x+1/2)
2.(x^4+y^4)(x^2+y^2)(x+y)(x-y)
3.(3a+b-2)(3a-b+2)
4.100^2/(252^2-248^2)
5.(1-1/2)(1+1/2)(1+1/2^2）（1+1/2^4）（1+1/2^8)+1/2^16
6.(6a^2b-1)(6a^2+1)
7.(1-2x)(1+2x)(1+4x^2)(1+16x^4)
8.(a+b-c)(a-b+c)-a^2

利用平方差公式计算1.(x-1/2)(x^2+1/4)(x+1/2)2.(x^4+y^4)(x^2+y^2)(x+y)(x-y)3.(3a+b-2)(3a-b+2)4.100^2/(252^2-248^2)5.(1-1/2)(1+1/2)(1+1/2^2）（1+1/2^4）（1+1/2^8)+1/2^166.(6a^2b-1)(6a^2+1)7.(1-2x)(1+2x)(1+4x^2)(1+16x^4)8.(a+b-c)(a-b+c)-a^2
1.(x-1/2)(x^2+1/4)(x+1/2)
=.(x-1/2）（x+1/2))(x^2+1/4)
=（x^2-1/4）)(x^2+1/4)
=x^4-1/16
2.(x^4+y^4)(x^2+y^2)(x+y)(x-y)
=.(x^4+y^4)(x^2+y^2)(x^2-y^2)
=.(x^4+y^4)(x^4-y^4)
=.x^8-y^8
3.(3a+b-2)(3a-b+2)
=[3a+(b-2)][3a-(b-2)]
=9a^2-(b-2)^2
=9a^2-(b^2-4b+4)
=9a^2-b^2+4b-4
4.100^2/(252^2-248^2)
=100^2/(252+248)(252-248)
=10000/500*4
=5
5.(1-1/2)(1+1/2)(1+1/2^2）（1+1/2^4）（1+1/2^8)+1/2^16
=[1-(1/2)^2](1+1/2^2）（1+1/2^4）（1+1/2^8)+1/2^16
=[1-(1/2)^4](1+1/2^4）（1+1/2^8)+1/2^16
=[1-(1/2)^8](1+1/2^8)+1/2^16
=1-(1/2)^16+(1/2)^16
=1
6.(6a^2b-1)(6a^2+1)
这题没错?
7.(1-2x)(1+2x)(1+4x^2)(1+16x^4)
=（1-4x^2）(1+4x^2)(1+16x^4)
=(1-16x^4)(1+16x^4)
=1-256x^8
8.(a+b-c)(a-b+c)-a^2
=[a+(b-c)][a-(b-c)]-a^2
=a^2-(b-c)^2-a^2
=-(b-c)^2
=a^2-(b-c)^2-a^2
=-(b-c)^2
=2bc-b^2-c^2

1.
(x-1/2)(x²+1/4)(x+1/2)
=[(x+1/2)(x-1/2)](x²+1/4)
=(x²-1/4)(x²+1/4)
=x⁴-1/16
2.
(x⁴+y⁴)(x²+y²)(x+y)(x-y)
=(x²-y²...

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1.
(x-1/2)(x²+1/4)(x+1/2)
=[(x+1/2)(x-1/2)](x²+1/4)
=(x²-1/4)(x²+1/4)
=x⁴-1/16
2.
(x⁴+y⁴)(x²+y²)(x+y)(x-y)
=(x²-y²)(x²+y²)(x⁴+y⁴)
=(x⁴-y⁴)(x⁴+y⁴)
=x^8 - y^8
3.
(3a+b-2)(3a-b+2)
=[3a+(b-2)][3a-(b-2)]
=(3a)²-(b-2)²
=9a²-b²+4b-4
4.
100²/(252²-248²)
=100²/[(252+248)(252-248)]
=100²/(500×4)
=10000/2000
=5
5.
(1-1/2)(1+1/2)(1+1/2²)(1+1/2⁴)(1+1/2^8) +1/2^16
=(1-1/2²)(1+1/2²)(1+1/2⁴)(1+1/2^8) +1/2^16
=(1-1/2⁴)(1+1/2⁴)(1+1/2^8) +1/2^16
=(1-1/2^8)(1+1/2^8)+1/2^16
=1-1/2^16+1/2^16
=1
6.
(6a²-1)(6a²+1)
=(6a²)²-1
=36a⁴-1 这题你抄错了。
7.
(1-2x)(1+2x)(1+4x^2)(1+16x^4)
=(1-4x²)(1+4x²)(1+16x⁴)
=(1-16x⁴)(1+16x⁴)
=1-256x^8
8.
(a+b-c)(a-b+c)-a²
=[a+(b-c)][a-(b-c)]-a²
=a²-(b-c)²-a²
=-(b-c)²
=-b²+2bc-c²

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1.(x-1/2)(x^2+1/4)(x+1/2)=(x^2+1/4)(x^2-1/4)=x^4-1/16
2.(x^4+y^4)(x^2+y^2)(x+y)(x-y)=(x^4+y^4)(x^2+y^2)(x^2-y^2)=(x^4+y^4)(x^4-y^4)=x^8+y^8
3.(3a+b-2)(3a-b+2)=9a^2-(b-2)^2=9a^2-b^2+4b-4
4....

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1.(x-1/2)(x^2+1/4)(x+1/2)=(x^2+1/4)(x^2-1/4)=x^4-1/16
2.(x^4+y^4)(x^2+y^2)(x+y)(x-y)=(x^4+y^4)(x^2+y^2)(x^2-y^2)=(x^4+y^4)(x^4-y^4)=x^8+y^8
3.(3a+b-2)(3a-b+2)=9a^2-(b-2)^2=9a^2-b^2+4b-4
4.100^2/(252^2-248^2)=100^2/[(252-248)/(252+248)]=10000/(4 · 500)=5
5.(1-1/2)(1+1/2)(1+1/2^2）（1+1/2^4）（1+1/2^8)+1/2^16=(1-1/2^2)(1+1/2^2)(1+1/2^4)(1+1/2^8)+1/2^16=1-1/2^16+1/2^16=1
6.(6a^2b-1)(6a^2+1)=36a^4-1
7.(1-2x)(1+2x)(1+4x^2)(1+16x^4)=1-32x^8
8.(a+b-c)(a-b+c)-a^2=a^2-(b-c)^2-a^2=-(b-c)^2

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这个太简单了，自己好好练吧！