已知:x+y=a,xy=b,试用a,b表示下列各式:(1)x^2+y^2;(2)(x-y)^2;(3)x^2y+xy^2

2025-06-23 04:11:35
推荐回答(2个)
回答1:

x^2+y^2
=x^2+y^2+2xy-2xy
=(x+y)^2-2xy
=a^2-2b

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

x^2y+xy^2
=xy(x+y)
=ab

回答2:

①a²-2b
②a²-4b
③ab