题目内容
计算:(1+
)(1+
)(1+
)(1+
)+
.
1 |
2 |
1 |
22 |
1 |
24 |
1 |
28 |
1 |
215 |
分析:在式子左边乘以2×(1-
),依次运用平方差公式进行运算即可.
1 |
2 |
解答:解:原式=2×(1-
)(1+
)(1+
)(1+
)(1+
)+
=2×(1-
)(1+
)(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 |
216 |
1 |
215 |
=2-
1 |
215 |
1 |
215 |
=2.
点评:本题考查了平方差公式的知识,属于基础题,关键是能熟练运用平方差公式.
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