因式分解x4-7x2y2+81y4

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因式分解x4-7x2y2+81y4
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因式分解x4-7x2y2+81y4
因式分解x4-7x2y2+81y4

因式分解x4-7x2y2+81y4
x4-7x2y2+81y4
=x4+18x2y2+81y4-25x2y2
=(x²+9y²)²-(5xy)²
=(x²+9y²+5xy)(x²+9y²-5xy)

x^4-7x^2*y^2+81y^4
=(x^4+18x^2*y^2+81y^4)-25x^2*y^2
=(x^2+9y^2)-(5xy)^2
=(x^2+5xy+9y^2)(x^2-5xy+9y^2)