Các bước giải:
1/x²-2x+1=(x-1)²
2/x²+4x+4=(x+2)²
3/16x²-y^4=(4x)²-(y²)²=(4x-y²)(4x+y²)
4/27x³-8x³=(3x)³-(2x)³=(3x-2x)(9x²+6x²+4x²)=11x³
5/9x^4-4y²=(3x²)²-(2y)²=(3x²-2y)(3x²-2y)
6/x³+8=x³+2³=(x+2)(x²-2x+4)
7/x³+3x²+3x+1=(x+1)³
8/x³-6x²+12x-8=x³-3.2x²+3.2²x-2³=(x-2)³
9/(x²+1)²-4x²=(x²+1)²-(2x)²=(x²+1-2x)(x²+1+2x)=(x-1)²(x+1)²
10/1-(x²-2xy+y²)=1-(x-y)²=(1-x+y)(1+x-y)