已知(x+1)²+|y-2|=0,求(2x²-2y²)-3(x²y²+x²)+3(x²y²+y²)的值
问题描述:
已知(x+1)²+|y-2|=0,求(2x²-2y²)-3(x²y²+x²)+3(x²y²+y²)的值
答
已知(x+1)²+|y-2|=0,
满足 x+1 = 0 y-2 = 0
x = -1 y=2
(2x²-2y²)-3(x²y²+x²)+3(x²y²+y²)的值
= 2x²-2y²-3x²y²-3x²+3x²y²+3y²
= -x²+y²
= ( x+y) ( y-x)
= ( -1+2) ( 2 +1)
= 1 x 3
= 3
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