问题 解答题
用心算一算:
(1)2a5-(-a)2-(-a23-(-7a);
(2)(4x2y+5xy-7x)-(5x2y+4xy+x);
(3)(
1
2
x2y-2xy+y2)-3xy;
(4)(4x3y-6x2y2+12xy3)÷(2xy);
(5)化简求值(x+2y)2-(x+y)(x-y),其中x=2,y=
1
2
答案

(1)2a5•(-a)2-(-a23•(-7a),

=2a7-7a7

=-5a7

(2)(4x2y+5xy-7x)-(5x2y+4xy+x),

=-x2y+xy-8x;

(3)(

1
2
x2y-2xy+y2)•3xy

=

3
2
x3y2-6x2y2+3xy3

(4)(4x3y-6x2y2+12xy3)÷(2xy),

=2x2-3xy+6y2

(5)(x+2y)2-(x+y)(x-y),

=x2+4xy+4y2-x2+y2

=4xy+5y2

当x=2,y=

1
2
时,原式=4×2×
1
2
+5×
1
4
=
21
4

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