1,
`A=3x(x^2-2x+3)-x^2(3x-2)+5(x^2-x)`
`A=3x^3-6x^2+9x-3x^3+2x^2+5x^2-5x`
`A=x^2+4x`
Thay `x=5` vào A ta có:
`A=5^2+4.5=25+20=45`
`B=x(x^2+xy+y^2)-y(x^2+xy+y^2)`
`B=x^3+x^2y+xy^2-x^2y-xy^2-y^3`
`B=x^3-y^3`
Thay `x=10; y=-1` vào B ta có:
`B=10^3-(-1)^3=1000-(-1)=1001`
2,
`2xy+3zy+6y+xz`
`=(xz+2xy)+(3zy+6y)`
`=x(z+2y)+3y(z+2y)`
`=(z+2y)(x+3y)`
`x^3-4x^2-xy^2+4x`
`=x(x^2-4x-y^2+4)`
`=x[(x^2-4x+4)-y^2]`
`=x[(x-2)^2-y^2]`
`=x(x-y-2)(x+y-2)`