问题 解答题
利用乘法公式计算下列各题:
(1)(2x+y)(2x-y);
(2)(
2
3
x
+5y)(
2
3
x
-5y);
(3)(x+3)(x-3)(x2+9);
(4)(x-
1
2
)(x2+
1
4
)(x+
1
2
).
答案

(1)(2x+y)(2x-y)

=(2x)2-y2

=4x2-y2

(2)(

2
3
x+5y)(
2
3
x-5y)

=(

2
3
x)2-(5y)2

=

4
9
x2-25y2

(3)(x+3)(x-3)(x2+9)

=(x2-9)(x2+9)

=x4-81;

(4)(x-

1
2
)(x2+
1
4
)(x+
1
2

=(x2-

1
4
)(x2+
1
4

=x4-

1
16

填空题
单项选择题