\(x^3-2x^2+x=x^3-x^2-x^2+x\)
\(=\left(x^3-x^2\right)-\left(x^2-x\right)\)
\(=x^2\left(x-1\right)-x\left(x-1\right)\)
\(=\left(x^2-x\right)\left(x-1\right)\)
\(e,36-12x+x^2=6^2-2.6x+x^2\)
\(=\left(6-x\right)^2\)
\(g,11x+11y-x^2-xy=\left(11x+11y\right)-\left(x^2+xy\right)\)
\(=11\left(x+y\right)-x\left(x+y\right)\)
\(=\left(11-x\right)\left(x+y\right)\)
c) 5x2y3 - 25x3y4 + 10x3y3 = 5x2y3 (1 - 5xy + 2x)
\(a,x^3-2x^2+x=x^3-x^2-x^2+x\)
\(=x^2\left(x+1\right)-x\left(x+1\right)=\left(x+1\right)\left(x^2-x\right)\)
\(=\left(x+1\right)x\left(x-1\right)\)
\(b,x^2-2x-15=x^2-5x+3x-15\)
\(=x\left(x-5\right)+3\left(x-5\right)=\left(x-5\right)\left(x+3\right)\)
\(c,5x^2y^3-25x^3y^4+10x^3y^3=5x^2y^3\left(-5xy+2x\right)\)
\(=5x^2y^3.x\left(-5y+2\right)=5x^3y^3\left(2-5y\right)\)
\(d,12x^2y-18xy^2-30y^2=6y\left(2x^2-3xy-5y\right)\)
\(e,36-12x+x^2=x^2-12x+36=x^2-2.x.6+6^2\)
\(=\left(x-6\right)^2\)
\(g,11x+11y-x^2-xy=11\left(x+y\right)-x\left(x+y\right)\)
\(=\left(x+y\right)\left(11-x\right)\)
a)\(x^3-2x^2+x\)
\(=x.\left(x^2-2x+1\right)\)
\(=x.\left(x-1\right)^2\)
b)\(x^2-2x-15\)
\(=x^2+3x-5x-15\)
\(=x.\left(x+3\right)-5.\left(x+3\right)\)
\(=\left(x+3\right).\left(x-5\right)\)
c)\(5x^2y^3-25x^3y^4+10x^3y^3\)
\(=5x^2y^3.\left(1-5xy+2x\right)\)
d)\(12x^2y-18xy^2-30y^2\)
\(=6y.\left(2x^2-3xy-5y\right)\)
e)\(36-12x+x^2\)
\(=6^2-12xx+x^2\)
\(=\left(6-x\right)^2\)
g)\(11x+11y-x^2-xy\)
\(=11.\left(x+y\right)-x.\left(x+y\right)\)
\(=\left(x+y\right).\left(11-x\right)\)