一道因式分解题

因式分解题A^3+B^3A^3-

A^3+B^3=(A^3-A^2B+AB^2)+(A^2B-AB^2+B^3)=A(A^2-AB+B^2)+B(A^2-AB+B^2) =(A+B)(A^2-AB+B^2) A^3-B^3=(A^3+A^2B+AB^2)-(A^2B+AB^2+B^3)=A(A^2+AB+B^2)-B(A^2+AB+B^2) =(A-B)(A^2+AB+B^2) X^2+2XY-8Y^2+2X+14Y-3=X^2-2XY+4XY-8Y^2+3X-X+12Y+2Y-3=(X^2-2XY+3X)+(4XY-8Y^2+12Y)-(X-2Y+3)=X(X-2Y+3)+4Y(X-2Y+3)-(X-2Y+3)=(X-2...全部

  A^3+B^3=(A^3-A^2B+AB^2)+(A^2B-AB^2+B^3)=A(A^2-AB+B^2)+B(A^2-AB+B^2) =(A+B)(A^2-AB+B^2) A^3-B^3=(A^3+A^2B+AB^2)-(A^2B+AB^2+B^3)=A(A^2+AB+B^2)-B(A^2+AB+B^2) =(A-B)(A^2+AB+B^2) X^2+2XY-8Y^2+2X+14Y-3=X^2-2XY+4XY-8Y^2+3X-X+12Y+2Y-3=(X^2-2XY+3X)+(4XY-8Y^2+12Y)-(X-2Y+3)=X(X-2Y+3)+4Y(X-2Y+3)-(X-2Y+3)=(X-2Y+3)(X+4Y-1) X^2-3XY+2Y^2-2X+Y-3 =X^2-XY-2XY+2Y^2+X-3X-2Y+3Y-3=(X^2-XY+X)-(2XY-2Y^2+2Y)-(3X-3Y+3)=X(X-Y+1)-2Y(X-Y+1)-3(X-Y+1)=(X-Y+1)(X-2Y-3) 。
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