因式分解81x^4-72x^2y^2+16y^4;(x-y)^2+4xy

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因式分解81x^4-72x^2y^2+16y^4;(x-y)^2+4xy

因式分解81x^4-72x^2y^2+16y^4;(x-y)^2+4xy
因式分解81x^4-72x^2y^2+16y^4;(x-y)^2+4xy

因式分解81x^4-72x^2y^2+16y^4;(x-y)^2+4xy
81x^4-72x^2y^2+16y^4
=(9x^2-4y^2)^2
=[(3x-2y)(3x+2y)]^2
=(3x-2y)^2(3x+2y)^2
(x-y)^2+4xy
=x^2+y^2-2xy+4xy
=x^2+y^2+2xy
=(x+y)^2

81x^4-72x^2y^2+16y^4
=(9x²-4y²)²
=(3x+2y)²(3x-2y)²
(x-y)^2+4xy
=x²-2xy+y²+4xy
=x²+2xy+y²
=(x+y)²