Let a, b and c integers. Prove or disprove the next statements:
a.7|𝑎^7−𝑎
b.If 7|𝑎2+𝑏2 then 7|𝑎 and 7|𝑏
c.If 7|𝑎3+𝑏3+𝑐3 then 7|𝑎𝑏𝑐
a.7|𝑎^7−𝑎
b.If 7|𝑎2+𝑏2 then 7|𝑎 and 7|𝑏
c.If 7|𝑎3+𝑏3+𝑐3 then 7|𝑎𝑏𝑐
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