已知X+Y=A,X^2+Y^2=B,求4X^2Y^2

问题描述:

已知X+Y=A,X^2+Y^2=B,求4X^2Y^2

X+Y=A
x^2+2xy+y^2=A^2
2XY=A^2-(X^2+Y^2)
2XY=A^2-B
4X^2Y^2=(A^2-B)^2