(a)
To prove : The given statement.
Given information :
For any two positive consecutive integers
Formula used:
Proof :
Let the first positive integer be
Use the identity
Hence, it is proved
(b)
To prove : The given statement.
Given information :
The difference of the cubes of two consecutive positive integers is always odd.
Formula used:
Proof :
Let the first positive integer be
The difference of the cubes of these two consecutive positive integers will be
Use the identity
Now, if
If
Hence, it is proved that the difference of the cubes of two consecutive positive integers is always odd.
Chapter 5 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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