(x^2+16y^2)^2-64x^2y^2 因式分解

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(x^2+16y^2)^2-64x^2y^2 因式分解

(x^2+16y^2)^2-64x^2y^2 因式分解
(x^2+16y^2)^2-64x^2y^2 因式分解

(x^2+16y^2)^2-64x^2y^2 因式分解
(x^2+16y^2)^2-64x^2y^2
=(x²+16y²+8xy)(x²+16y²-8xy)
=(x+4y)²(x-4y)²

(x^2+16y^2)^2-64x^2y^2
=(x^2+16y^2+8xy)(x^2+16y^2-8xy)
=(x+4y)^2 (x-4y)^2
=(x^2-16y^2)^2

(x^2+16y^2)^2-64x^2y^2
=(x^2+16y^2)^2-(8xy )²
=[(x²+16y²)+8xy ][(x²+16y²)-8xy ]
=(x+4y)²(x-4y)²