题目内容
用简便方法计算:
(1+
+
+
)×(
+
+
+
)-(1+
+
+
+
)×(
+
+
)=______.
(1+
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设
+
+
=a,
+
+
+
=b,则:
(1+
+
+
)×(
+
+
+
)-(1+
+
+
+
)×(
+
+
),
=(1+a)×b-(1+b)×a,
=b+ab-a-ab,
=b-a,
=(
+
+
+
)-(
+
+
),
=
.
故答案为:
.
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(1+
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=(1+a)×b-(1+b)×a,
=b+ab-a-ab,
=b-a,
=(
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=
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故答案为:
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