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\(=x^2-x+2022x-2022\\ =x\left(x-1\right)+2022\left(x-1\right)\\ =\left(x+2022\right)\left(x-1\right)\)
x4 + 2021x2 - 2020x + 2021
= (x4 + x) + 2021(x2 - x + 1)
= x(x3 + 1) + 2021(x2 - x + 1)
= x(x + 1)(x2 - x + 1) + 2021(x2 - x + 1)
= (x2 + x + 2021)(x2 - x + 1)
x4+2012x2+2012x+2012
=(x4-x)+(2012x2+2012x+2012)
=x(x3-1)+2012(x2+x+1)
=x(x-1) (x2+x+1) + 2012 (x2+x+1)
=(x2+x+1) [x(x-1)+2012]
=(x2+x+1) (x2-x+2012)
\(1,\left(x+2022\right)\left(x-1\right)=x^2+2021x-2022\left(B\right)\\ 2,\left(a+b\right)\left(a^2-ab+b^2\right)=a^3+b^3\left(A\right)\)
\(x^2\left(x^2+4\right)-x^2+4\)
\(=x^4+4x^2-x^2+4\)
\(=x^4+3x^2+4\)
\(=x^4-x^3+x^3+2x^2+2x^2-x^2-2x+2x+4\)
\(=\left(x^4-x^3+2x^2\right)+\left(x^3-x^2+2x\right)+\left(2x^2-2x+4\right)\)
\(=x^2\left(x^2-x+2\right)+x\left(x^2-x+2\right)+2\left(x^2-x+2\right)\)
\(=\left(x^2+x+2\right)\left(x^2-x+2\right)\)
\(x^4-5x^2+4=x^4-x^2-4x^2+4\)
\(=\left(x^2-1\right)\left(x^2+1\right)-4\left(x^2-1\right)\)
\(=\left(x^2-1\right)\left(x^2+1-4\right)=\left(x^2-1\right)\left(x^2-3\right)\)
x4-25x2+26x-4
= (x4-25x2)+ (26x-4)
= ((x2)2-(5x)2)+ 2(13x-2)
= (x2-5x)(x2+5x)
ukm!!!!!!!!!!!!
\(=x^2-x+2022x-2022\)
\(=x\left(x-1\right)+2022\left(x-1\right)\)
\(=\left(x+2022\right)\left(x+1\right)\)