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七年级数学解答题一般
题目
已知A=3x2+xy+yA=3x^{2}+xy+y,B=2x2xyB=2x^{2}-xy.
(1)(1)化简2A3B2A-3B.
(2)(2)x=2x=2,y=1y=-1,求2A3B2A-3B的值.
知识点:绝对值(二)章节:第1章 有理数 / 1.2 有理数 / 1.2.4 绝对值

答案与解析

答案

(1)2A3B\left(1\right)2A-3B
=2(3x2+xy+y)3(2x2xy)=2(3x^{2}+xy+y)-3(2x^{2}-xy)
=6x2+2xy+2y6x2+3xy=6x^{2}+2xy+2y-6x^{2}+3xy
=5xy+2y=5xy+2y
(2)(2)x=2x=2y=1y=-1时,
2A3B=5xy+2y=5×2×(1)+2×(1)=122A-3B=5xy+2y=5\times 2\times \left(-1\right)+2\times \left(-1\right)=-12.

解析

(1)2A3B\left(1\right)2A-3B
=2(3x2+xy+y)3(2x2xy)=2(3x^{2}+xy+y)-3(2x^{2}-xy)
=6x2+2xy+2y6x2+3xy=6x^{2}+2xy+2y-6x^{2}+3xy
=5xy+2y=5xy+2y
(2)(2)x=2x=2y=1y=-1时,
2A3B=5xy+2y=5×2×(1)+2×(1)=122A-3B=5xy+2y=5\times 2\times \left(-1\right)+2\times \left(-1\right)=-12.

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