多項式4x^3-6x^2y+8xy^ 2中,各項的公因式是

多項式4x^3-6x^2y+8xy^ 2中,各項的公因式是


多項式4x^3-6x^2y+8xy^ 2中,各項的公因式是2x



4xy^2-4x^2y-y^3和-a+2a^2-a^3公因式


4xy^2-4x^2y-y^3
=-y(y^2-4xy+4x^2)
=-y(y-2x)^2
-a+2a^2-a^3
=-a(a^2-2a+1)
=-a(a-1)^2



當a=0.5是求多項式(a+1)^2(2a-3)+(a+1)(2a-3)^2-(a+1)(3-2a)的值
因式分解(提公因式法)


a=0.5(a+1)^2(2a-3)+(a+1)(2a-3)^2-(a+1)(3-2a)=(a+1)^2(2a-3)+(a+1)(2a-3)^2+(a+1)(2a-3)=(a+1)(2a-3)[(a+1)+(2a-3)+1]=(a+1)(2a-3)(a+1+2a-3+1)=(a+1)(2a-3)(3a-1)=(0.5 +1)(2*0.5-3)(3*0.5-1)=1.5*(-2)*0.5=-1….