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Hữu Hiền Minh Nguyễn

1)

$\left(x+1\right)\left(x^2-x+1\right)=x^3+1^3=x^3+1$

2)

$\left(x-1\right)\left(x^2+x+1\right)=x^3-1^3=x^3-1$

3)

$\left(x-2\right)\left(x^2+2x+4\right)=x^3-2^3=x^3-8$

4)

$\left(x+2\right)\left(x^2-2x+4\right)=x^3+2^3=x^3+8$

5)

$\left(x-3\right)\left(x^2+3x+9\right)=x^3-3^3=x^3-27$

6)

$\left(x-4\right)\left(x^2+4x+16\right)=x^3-4^3=x^3-64$

7)

$\left(x-5\right)\left(x^2+5x+25\right)=x^3-5^3=x^3-125$

8)

$\left(2x+1\right)\left(4x^2-2x+1\right)=\left(2x\right)^3+1^3=8x^3+1$

9)

$\left(3x+2\right)\left(9x^2-6x+4\right)=\left(3x\right)^3+2^3=27x^3+8$.