Question

phan tich da thuc thanh nhan tu

x²*(x-2)²-(x-2)²-x²+1

giai ho toi 

Answer 1

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

\(=\left(x-2\right)^2\left(x^2-1\right)-\left(x^2-1\right)\)

​\(=\left[\left(x-2\right)^2-1\right]\left(x^2-1\right)\)​

Answer 2

Làm tiếp cho chắc nhé

\(=\left(x-2-1\right)\left(x-2+1\right)\left(x-1\right)\left(x+1\right)\)

\(=\left(x-3\right)\left(x-1\right)\left(x-1\right)\left(x+1\right)\)

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