(a^2+b^2)^2-4a^2b^2(分解因式)分解因式:(1) m^2n^2/9+2mn^2/3+n^4(2) 25a^2-10a+1(3) (x^2+1)^2-4x^2一定要写过程(a^2+b^2)^2-4a^2b^2(分解因式)

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(a^2+b^2)^2-4a^2b^2(分解因式)分解因式:(1)m^2n^2/9+2mn^2/3+n^4(2)25a^2-10a+1(3)(x^2+1)^2-4x^2一定要写过程(a^2+b^2)^

(a^2+b^2)^2-4a^2b^2(分解因式)分解因式:(1) m^2n^2/9+2mn^2/3+n^4(2) 25a^2-10a+1(3) (x^2+1)^2-4x^2一定要写过程(a^2+b^2)^2-4a^2b^2(分解因式)
(a^2+b^2)^2-4a^2b^2(分解因式)
分解因式:(1) m^2n^2/9+2mn^2/3+n^4
(2) 25a^2-10a+1
(3) (x^2+1)^2-4x^2
一定要写过程
(a^2+b^2)^2-4a^2b^2(分解因式)

(a^2+b^2)^2-4a^2b^2(分解因式)分解因式:(1) m^2n^2/9+2mn^2/3+n^4(2) 25a^2-10a+1(3) (x^2+1)^2-4x^2一定要写过程(a^2+b^2)^2-4a^2b^2(分解因式)
(a^2+b^2)^2-4a^2b^2
=(a^2+b^2+2ab)(a^2+b^2-2ab)
=(a+b)^2*(a-b)^2
这题打错了个数字吧
m^2n^2/9+2mn^3/3+n^4
=1/9*n^2*(m^2+6mn+9n^2)
=1/9*n^2*(m+3n^2)^2
25a^2-10a+1
=(5a-1)^2
(x^2+1)^2-4x^2
=(x^2+1+2x)(x^2+1-2x)
=(x+1)^2*(x-1)^2

(1) m^2n^2/9+2mn^3/3+n^4
=n^2[(m/3)^2+2mn/3+n^2]
=n^2(m/3+n)^2
(2) 25a^2-10a+1
=(5a)^2-10a+1^2
=(5a-1)^2
(3) (x^2+1)^2-4x^2
=(x^2+1+2x)(x^2+1-2x)
=(x+1)^2(x-1)^2