化简求值:[(x+2y)(x-2y)-(2x-y)2+(3x-y)(2x-5y)]÷(-12),其中x=-1,y=-12.-数学

题目简介

化简求值:[(x+2y)(x-2y)-(2x-y)2+(3x-y)(2x-5y)]÷(-12),其中x=-1,y=-12.-数学

题目详情

化简求值:[(x+2y)(x-2y)-(2x-y)2+(3x-y)(2x-5y)]÷(-
1
2
),其中x=-1,y=-
1
2
题型:解答题难度:中档来源:不详

答案

[(x+2y)(x-2y)-(2x-y)2+(3x-y)(2x-5y)]÷(-class="stub"1
2
),
=(x2-4y2-4x2+4xy-y2+6x2-17xy+5y2)÷(-class="stub"1
2
),
=(-3x2-13y)÷(-class="stub"1
2
),
=6x2+26y,
当x=-1,y=-class="stub"1
2
时,原式=6×(-1)2+26×(-class="stub"1
2
)=6-13=-7.

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