Question

已知:2x-y=1/3,xy=3,求4x^3y-4x^2y^2=xy^3的值

详细过程哦 加油！

Answer 1

已知：2x-y=1/3 xy=3,得

4x^3y-4x^2y^2+xy^3

=xy(4x^2-4xy+y^2)

=xy(2x-y)

=3×1/3

=1

提示：提取公因式，然后利用完全平方公式

Answer 2

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