题目内容
计算:(1+
)(1+
)(1+
)(1+
)+
.
| 1 |
| 2 |
| 1 |
| 22 |
| 1 |
| 24 |
| 1 |
| 28 |
| 1 |
| 215 |
考点:平方差公式
专题:计算题
分析:原式变形后,利用平方差公式计算即可得到结果.
解答:解:原式=2(1-
)(1+
)(1+
)(1+
)(1+
)+
.
=2(1-
)(1+
)(1+
)(1+
)+
=2(1-
)(1+
)(1+
)+
=2(1-
)(1+
)+
=2(1-
)+
=2-
+
=2.
| 1 |
| 2 |
| 1 |
| 2 |
| 1 |
| 22 |
| 1 |
| 24 |
| 1 |
| 28 |
| 1 |
| 215 |
=2(1-
| 1 |
| 22 |
| 1 |
| 22 |
| 1 |
| 24 |
| 1 |
| 28 |
| 1 |
| 215 |
=2(1-
| 1 |
| 24 |
| 1 |
| 24 |
| 1 |
| 28 |
| 1 |
| 215 |
=2(1-
| 1 |
| 28 |
| 1 |
| 28 |
| 1 |
| 215 |
=2(1-
| 1 |
| 216 |
| 1 |
| 215 |
=2-
| 1 |
| 215 |
| 1 |
| 215 |
=2.
点评:此题考查了平方差公式,熟练掌握平方差公式是解本题的关键.
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