Prove that for any natural n the value of the expression (n+7)^2–n^2 is divisible by 7.
1 answer:
Step-by-step explanation:
(n + 7)² – n²
n² + 14n + 49 – n²
14n + 49
7 (2n + 7)
7 is a factor, so for any natural n, (n + 7)² – n² is a multiple of 7.
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