a³-4a+1,4x四次方+1,x四次方-3x²+1,x³-7x+6a³-4a+14x四次方+1x四次方-3x²+1x³-7x+6(1-a²)(1-b²)-4ab

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a³-4a+1,4x四次方+1,x四次方-3x²+1,x³-7x+6a³-4a+14x四次方+1x四次方-3x²+1x³-7x+6(1-a²)(1-b²)-4ab

a³-4a+1,4x四次方+1,x四次方-3x²+1,x³-7x+6a³-4a+14x四次方+1x四次方-3x²+1x³-7x+6(1-a²)(1-b²)-4ab
a³-4a+1,4x四次方+1,x四次方-3x²+1,x³-7x+6
a³-4a+1
4x四次方+1
x四次方-3x²+1
x³-7x+6
(1-a²)(1-b²)-4ab

a³-4a+1,4x四次方+1,x四次方-3x²+1,x³-7x+6a³-4a+14x四次方+1x四次方-3x²+1x³-7x+6(1-a²)(1-b²)-4ab
a²-4a+1
=(a²-4a+4)-3
=(a-2)²-3
=(a-2+√3)(a-2-√3)
4x四次方+1
=4x的4次方+4x²+1-4x²
=(2x²+1)²-4x²
=(2x²+2x+1)(2x²-2x+1)
x四次方-3x²+1
=x的4次方-2x²+1-x²
=(x²-1)²-x²
=(x²+x-1)(x²-x-1)
x³-7x+6
=x³-1-7x+7
=(x-1)(x²+x+1)-7(x-1)
=(x-1)(x²+x-6)
=(x-1)(x+3)(x-2)
(1-a²)(1-b²)-4ab
=1-a²-b²+a²b²-4ab
=1-2ab+a²b²-a²-2ab-b²
=(1-ab)²-(a+b)²
=(1-ab+a+b)(1-ab-a-b)