a, \(x^3-2x^2+x\)
\(=x^3-x^2-x^2+x\)
\(=x^2\left(x-1\right)-x\left(x-1\right)=\left(x-1\right)\left(x^2-x\right)\)
\(=x\left(x-1\right)^2\)
b, \(2x^2+4x+2-2y^2\)
\(=2x^2+2x+2x+2-2y^2\)
\(=2x\left(x+1\right)+2\left(x+1\right)-2y^2\)
\(=2\left(x+1\right)^2-2y^2\)
\(=2\left(x+1-y\right)\left(x+1+y\right)\)
c, \(2xy-x^2-y^2+16\)
\(=-\left(x^2-2xy+y^2-4^2\right)\)
\(=-\left[\left(x-y\right)^2-4^2\right]=-\left(x-y-4\right)\left(x-y+4\right)\)
d, \(x^3+2x^2y+xy^2-9x\)
\(=x\left(x^2+2xy+y^2-9\right)\)
\(=x\left[\left(x+y\right)^2-3^2\right]=x\left(x+y-3\right)\left(x+y+3\right)\)
e, \(2x-2y-x^2+2xy-y^2\)
\(=-\left(x^2-2xy+y^2-2x+2y\right)\)
\(=-\left[\left(x-y\right)^2-2\left(x-y\right)\right]\)
\(=-\left(x-y\right)\left(x-y-2\right)\)
Chúc bạn học tốt!!!
