因式分解81a^4-b^4

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因式分解81a^4-b^4
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因式分解81a^4-b^4
因式分解81a^4-b^4

因式分解81a^4-b^4
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81a^4-b^4
=(9a^2)^2-(b^2)^2
=(9a^2+b^2)(9a^2-b^2)
=(9a^2+b^2)(3a+b)(3a-b)

=(9a^2+b^2)(9a^2-b^2)
=(9a^2+b^2)(3a+b)(3a-b)

(9a^2+b^2)(3a+b)(3a-b)

81a^4-b^4=(3a+b)(3a-b)(9a^2+b^2)

原式=·(9a²+b²)(9a²-b²)=(9a²+b²)(3a+b)(3a-b)