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1.(x-2y+3z)(x+2y-3z)2.(2n+1)(4n^2-1)(2n-1)
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1.(x-2y+3z)(x+2y-3z) 2.(2n+1)(4n^2-1)(2n-1)
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答案和解析
(x-2y+3z)(x+2y-3z)
=(x-(2y-3z))(x+(2y-3z))
=x²-(2y-3z)²
=x²-4y²-9z²+12yz
----------------
(2n+1)(4n^2-1)(2n-1)
=(2n-1)(2n+1)(4n^2-1)
=(4n^2-1)^2
=16n^4-8n^2+1
=(x-(2y-3z))(x+(2y-3z))
=x²-(2y-3z)²
=x²-4y²-9z²+12yz
----------------
(2n+1)(4n^2-1)(2n-1)
=(2n-1)(2n+1)(4n^2-1)
=(4n^2-1)^2
=16n^4-8n^2+1
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