Question

 

Answer 1

\(1,=\left(x-y\right)^2=\left(2021-2022\right)^2=1\\ 2,=3\left(x-2\right)\\ 3,=-4x\\ 4,=x^2+2x-3\\ 5,=\left(x-2y\right)\left(x+2y\right)\)

Answer 2

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

2) \(x^2-2xy+y^2=\left(x-y\right)^2=\left(2021-2022\right)^2=\left(-1\right)^2=1\)

3) \(3x-6=3\left(x-2\right)\)

4) \(-12x^2:3x=-4x\)

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

6) \(x^2-4y^2=\left(x-2y\right)\left(x+2y\right)\)