因式分解:(x²-5)²+8(5-x²)+16

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因式分解:(x²-5)²+8(5-x²)+16因式分解:(x²-5)²+8(5-x²)+16因式分解:(x²-5)²+8

因式分解:(x²-5)²+8(5-x²)+16
因式分解:(x²-5)²+8(5-x²)+16

因式分解:(x²-5)²+8(5-x²)+16
(x²-5)²+8(5-x²)+16
=(x²-5)²-8(x²-5)+16
=(x²-5-4)²
=(x²-9)(x²-9)
=(x-3)(x-3)(X+3)(x+3)

原式
=(x²-5)²-2×4×(x²-5)+4²
=(x²-5-4)²
=(x²-9)²
=(x+3)²(x-3)²。

原式=(x²-5)²-8(x²-5)+16
=(x²-5-4)²
=(x²-9)²
=(x+3)²(x-3)²