Question

${(x - 2)}^{3} = {(2 - x)}^{3}$
Так это или нет? ​

Answer 1

$(x-2)^3\ne (2-x)^3\\\\\star \; \; (x-2)^3=x^3-6x^2+12x-8\\\\(2-x)^3=8-12x+6x^2-x^3=-(x^3-6x^2+12x-8)=-(x-2)^3\; \; \star \\\\\\ili\\\\(x-2)^3=\Big (-(2-x)\Big )^3=(-1)^3(2-x)^3=-(2-x)^3\; \; \to \\\\(x-2)^3=-(2-x)^3$