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2
Product Evaluation
Product Evaluation
Source:
December 22, 2005
algebra
polynomial
AMC
AIME
Problem Statement
Evaluate the product
(
5
+
6
+
7
)
(
−
5
+
6
+
7
)
(
5
−
6
+
7
)
(
5
+
6
−
7
)
.
(\sqrt 5+\sqrt6+\sqrt7)(-\sqrt 5+\sqrt6+\sqrt7)(\sqrt 5-\sqrt6+\sqrt7)(\sqrt 5+\sqrt6-\sqrt7).
(
5
+
6
+
7
)
(
−
5
+
6
+
7
)
(
5
−
6
+
7
)
(
5
+
6
−
7
)
.
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