Lời giải:
`a)x^2+ax-7x-7a=x(x+a)-7(x+a)=(x-7)(x+a)`
`b)16x^2-24xy^2+9y^4=(4x)^2-2.4x.3y^2+(3y^2)^2=(4x-3y^2)^2`
`c)x^3-3x^2+12-4x=x^2(x-3)-4(x-3)=(x^2-4)(x-3)=(x+2)(x-2)(x-3)`
`d)x^2-4+(x-2)^2=(x+2)(x-2)+(x-2)^2=(x-2)(x+2+x-2)=(x-2)2x`
`e)x^3-2x^2+x-xy^2=x(x^2-2x+1-y^2)=x[(x^2-2x+1)-y^2]=x[(x-1)^2-y^2]=x(x-1+y)(x-1-y)`
`f)x^3-4x^2-12x+27=(x^3+3^3)-(4x^2+12x)=(x+3)(x^2-3x+9)-4x(x+3)=(x+3)(x^2-3x+9-4x)=(x+3)(x^2-7x+9)`