计算(4+m)(16-4m+m2)(4+m)(16-4m+m2)(a+2)(a-2)(a4+4a2+16)(1/5m-1/2n)(1/25m2+1/10mn+1/4n2)(x2+2xy+y2)(x2-2xy+y2)2

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计算(4+m)(16-4m+m2)(4+m)(16-4m+m2)(a+2)(a-2)(a4+4a2+16)(1/5m-1/2n)(1/25m2+1/10mn+1/4n2)(x2+2xy+y2)(x2-2xy+y2)2
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计算(4+m)(16-4m+m2)(4+m)(16-4m+m2)(a+2)(a-2)(a4+4a2+16)(1/5m-1/2n)(1/25m2+1/10mn+1/4n2)(x2+2xy+y2)(x2-2xy+y2)2
计算(4+m)(16-4m+m2)
(4+m)(16-4m+m2)
(a+2)(a-2)(a4+4a2+16)
(1/5m-1/2n)(1/25m2+1/10mn+1/4n2)
(x2+2xy+y2)(x2-2xy+y2)2

计算(4+m)(16-4m+m2)(4+m)(16-4m+m2)(a+2)(a-2)(a4+4a2+16)(1/5m-1/2n)(1/25m2+1/10mn+1/4n2)(x2+2xy+y2)(x2-2xy+y2)2
1、m³+64;
2、a^6-64;
3、(1/125)m³-(1/8)n³;
4、?
注:这四个题目都是利用立方和差公式计算的,即:
a³-b³=(a-b)(a²+ab+b²)
a³+b³=(a+b)(a²-ab+b²)

1、m³+64;
2、a^6-64;
3、(1/125)m³-(1/8)n³
4、=(x²+2xy+y²)(x²-2xy+y²
=(x+y)²(x-y)²
=(x²-y²)²
=x^4-2x²y²+y^4

1.原式=64-16m+4m2+16m-4m2+m3
=m3+64
2.原式=(a2-4)(a4+4a2+16)
=a6+4a4+16a2-4a4-16a2-64
=a6-64
3.原式=1/125m3+1/50m2n+1/20mn2-1/50m2n-1/20mn2-1/8n3
...

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1.原式=64-16m+4m2+16m-4m2+m3
=m3+64
2.原式=(a2-4)(a4+4a2+16)
=a6+4a4+16a2-4a4-16a2-64
=a6-64
3.原式=1/125m3+1/50m2n+1/20mn2-1/50m2n-1/20mn2-1/8n3
=1/125m3-1/8n3
4.原式=(x²+2xy+y²)(x²-2xy+y²)
=(x+y)²(x-y)²
=(x²-y²)²
=x^4-2x²y²+y^4
注:a³-b³=(a-b)(a²+ab+b²)
a³+b³=(a+b)(a²-ab+b²)

收起

1、m³+64;
2、a^6-64;
3、(1/125)m³-(1/8)n³;
4、[(x2-y2)(x+y)]2
注:这四个题目都是利用立方和差公式计算的,即