先化简,再求值:5(x+y)(x-y)-2(x+y)的二次方-3(x-y)的二次方,其中x=3,y

先化简,再求值:5(x+y)(x-y)-2(x+y)的二次方-3(x-y)的二次方,其中x=3,y=-2(使用平方差公式和完全平方公式解答)
5(x+y)(x-y)-2(x+y)的二次方-3(郑尘x-y)的二次方

= -[ 2(x+y)的二次方-5(x+y)(x-y)+3(x-y)裂档的二肆丛乱次方]

= -[ (x+y)-(x-y)] [ 2(x+y)-3(x-y)]
= -[ 2y ] [ -x+5y]
=2y(x-5y)

x=3,y=-2代入

2y(x-5y)
=2×(-2)×(3+10)
= -52