Question

Rút gọn biểu thức bằng cách nhanh nhất

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

Answer 1

\(\left(x-1\right)^3+4\left(x+1\right)\left(1-x\right)+3\left(x-1\right)\left(x^2+x+1\right).\)

\(=\left(x-1\right)^3+4\left(x+1\right)\left(1-x\right)+3\left(x-1\right)^3.\)

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

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

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

\(=4\left[\left(x-1\right)^3+\left(1-x^2\right)\right]\)