The expression (x + y)² is greater.
If and are negative integers, then and for some positive integers and .
By substitution,
Since and are positive integers,
Recall that
Substituting back, we get
Therefore, (x + y)² is greater than (x - y)².
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Answers & Comments
The expression (x + y)² is greater.
If
and
are negative integers, then
and
for some positive integers
and
.
By substitution,
Since
and
are positive integers,
Recall that
Substituting back, we get
Therefore, (x + y)² is greater than (x - y)².