因式分解化简求值,1.x^4-18x^2y^2+81y^42.m^2-n^2+n-1/4

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因式分解化简求值,1.x^4-18x^2y^2+81y^42.m^2-n^2+n-1/4因式分解化简求值,1.x^4-18x^2y^2+81y^42.m^2-n^2+n-1/4因式分解化简求值,1.x

因式分解化简求值,1.x^4-18x^2y^2+81y^42.m^2-n^2+n-1/4
因式分解化简求值,
1.x^4-18x^2y^2+81y^4
2.m^2-n^2+n-1/4

因式分解化简求值,1.x^4-18x^2y^2+81y^42.m^2-n^2+n-1/4
x^4-18x^2y^2+81y^4
=(x^2-9y^2)^2
=(x+3y)^2(x-3y)^2
m^2-n^2+n-1/4
=m^2-(n^2-n+1/4)
=m^2-(n-1/2)^2
=(m+n-1/2)(m-n+1/2)

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

1 [(x+3y)*(x-3y)]^2
2 (m+n-1/2)*(m-n+1/2)

1.
x^4-18x^2y^2+81y^4
=(x^2-9y^2)^2
=[(x+3y)(x-3y)]^2
=(x+3y)^2*(x-3y)^2
2.
m^2-n^2+n-1/4
=m^2-(n-1/2)^2
=(m+n-1/2)(m-n+1/2)

第一题:(x^2-9y^2)^2
第二题: =m^2-(n^2-n+1/4)
=m^2-(n-1/2)^2
=(m+n-1/2)*(m-n+1/2)

(x+3y)^2(x-3y)^2
(m+n-1/2)(m-n+1/2)