问题
解答题
先化简再求值. ①3x2y-[2xy2-2(xy-
②(2a+3b-2ab)-(a+4b+ab)-(3ab-2a+2b),其中a-b=5,ab=-5 |
答案
①原式=3x2y-(2xy2-2xy+3x2y+xy)+3xy2
=3x2y-2xy2+2xy-3x2y-xy+3xy2
=xy2+xy
将x=3,y=-
代入上式,得1 3
上式=3×(-
)2+3×(-1 3
)1 3
=3×
-11 9
=
-11 3
=-
;2 3
②(2a+3b-2ab)-(a+4b+ab)-(3ab-2a+2b)
=2a+3b-2ab-a-4b-ab-3ab+2a-2b
=3a-3b-6ab
=3(a-b)-6ab
将a-b=5,ab=-5代入上式,得
上式=3×5-6×(-5)
=15+30
=45.