求做2道因式分解25x^2-(4x-3y)^2m^4-18m^2n^2+81n^4

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求做2道因式分解25x^2-(4x-3y)^2m^4-18m^2n^2+81n^4
求做2道因式分解
25x^2-(4x-3y)^2
m^4-18m^2n^2+81n^4

求做2道因式分解25x^2-(4x-3y)^2m^4-18m^2n^2+81n^4
25x^2-(4x-3y)^2
=[5x+(4x-3y)][5x-(4x-3y)]
=(5x+4x-3y)(5x-4x+3y)
=(9x-3y)(x+3y)
=3(3x-y)(x+3y)
m^4-18m^2n^2+81n^4
=(m^2-9n^2)^2
=(m+3n)^2(m-3n)^2
PS你刚学吗

9x^2+24xy+9y^2;
(m+3n)^2(m-3n)^2

1：原式=(5x+4x-3y)(5x-4x+3y)
=(9x-3y)(x+3y)
=3(3x-y)(x+3y)
2: 由平方和公式（a+b)^2=a^2+2ab+b^2 得：
原式=[m^2-9n^2]^2
=(m+3n)^2(m-3n)^2

1. 25x^2-(4x-3y)^2
=(5x)^2-(4x-3y)^2
=(5x-4x+3y)(5x+4x-3y)
=(x+3y)(9x-3y)
=3(x+3y)(3x-y)
2.m^4-18m^2n^2+81n^4
=(m^2-9n^2)^2
=(m+3)^2(m-3)^2

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