先化简再求值:2(x+y)(x+y)-(x-y)的平方+(x-y)的平方,其中x=2,y=1⼀2

2025-03-04 06:56:12
推荐回答(2个)
回答1:

解:2(x+y)(x+y)-(x-y)²+(x-y)²
=2(x+y)²-[(x-y)²-(x-y)²]
=2(x²+2xy+y²)-0
=2x²+4xy+2y²
当x=2,y=1/2时,
原式=2×2²+4×2×½+2×(½)²
=8+4+½
=12.5

回答2:

=2(x+y)²
当x=2,y=1/2时,
原式=4.5