因式分解:4(x-1)눀-4(1-x눀)+(1+x)눀

2025-06-21 21:10:47
推荐回答(4个)
回答1:

原式=4(x-1)²+4(x+1)(x-1)+(x+1)²
=[2(x-1)+(x+1)]²
=(3x-1)²

回答2:

4(x-1)²-4(1-x²)+(1+x)²
=4(x-1)²-4(1-x)(1+x)+(1+x)²
=4(x-1)²+4(x-1)(1+x)+(1+x)²
=[2(x-1)+(1+x)]²
=(2x-2+1+x)²
=(3x-1)²

回答3:

=4x²-8x+4-4+4x²+1+2x+x²
=9x²-6x+1
=(3x-1)²

回答4:

1