因式分解:(1)x∧2n+x∧n-1\9y∧4m+1\4(1)x∧2n+x∧n-1\9y∧4m+1\4(2)(a+b)∧3+(b+c)∧3+(c+a)∧3+a∧3+b∧3+c∧3

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因式分解:(1)x∧2n+x∧n-1\9y∧4m+1\4(1)x∧2n+x∧n-1\9y∧4m+1\4(2)(a+b)∧3+(b+c)∧3+(c+a)∧3+a∧3+b∧3+c∧3因式分解:(1)x∧2

因式分解:(1)x∧2n+x∧n-1\9y∧4m+1\4(1)x∧2n+x∧n-1\9y∧4m+1\4(2)(a+b)∧3+(b+c)∧3+(c+a)∧3+a∧3+b∧3+c∧3
因式分解:(1)x∧2n+x∧n-1\9y∧4m+1\4
(1)x∧2n+x∧n-1\9y∧4m+1\4
(2)(a+b)∧3+(b+c)∧3+(c+a)∧3+a∧3+b∧3+c∧3

因式分解:(1)x∧2n+x∧n-1\9y∧4m+1\4(1)x∧2n+x∧n-1\9y∧4m+1\4(2)(a+b)∧3+(b+c)∧3+(c+a)∧3+a∧3+b∧3+c∧3
(1)
x^2n+x^n-1/9y^4m+1/4
=(x^n)^2+(x^n)+1/4-(1/9)y^4m
=[(x^n)^2+(x^n)+1/4]-(1/9)y^4m
=[x^n+1/2]^2-[(1/3)y^2m]^2
=[x^n+1/2+(1/3)y^2m]*[x^n+1/2-(1/3)y^2m]
(2)
(a+b)^3+(b+c)^3+(c+a)^3+a^3+b^3+c^3
=[(a+b)³+c³]+[(b+c)³+a³]+[(a+c)³+b³]
=(a+b+c)[(a+b)²-c(a+b)+c²]+(a+b+c)[(b+c)²-a(b+c)+a²]+(a+b+c)[(a+c)²-b(a+c)+b²]
=(a+b+c)(a²+2ab+b²-ac-bc+c²+b²+2bc+c²-ab-ac+a²+a²+2ac+c²-ab-bc+b²)
=(a+b+c)(3a²+3b²+3c²)
=3(a+b+c)(a²+b²+c²)