\(a,x^3+2x^2+x\)
\(=x^3+x^2+x^2+x\)
\(=\left(x^3+x^2\right)+\left(x^2+x\right)\)
\(=x^2\left(x+1\right)+x\left(x+1\right)\)
\(=\left(x+1\right)\left(x^2+x\right)\)
\(=x\left(x+1\right)\left(x+1\right)\)
\(=x\left(x+1\right)^2\)
\(b,xy+y^2-y-x\)
\(=\left(xy+y^2\right)-\left(x+y\right)\)
\(=y\left(x+y\right)-\left(x+y\right)\)
\(=\left(x+y\right)\left(y-1\right)\)
a, x^3+2x^2+x
=x(x^2+2x+1)
=x(x+1)^2
b, xy+y^2-y-x
=x(y-1)+y(y-1)
=(y-1)(x+y)
x3+2x2+x
=x(x2+2x+1)
=x(x+1)2
=xy+y2-x-y
=(xy+y2)-(x+y)
=y(x+y)-(x+y)
=(x+y)(y-1)