what is the answer of (a+b+c)^3
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Answer:
hey mate
Step-by-step explanation:
here is your answer
(a + b + c)³ = a³ + b³ + c³ + 3(a + b) (b + c ) (c + a )
solution
= [(a+b) + c]³
= (a + b)³ + c³ + 3 (a+b) c [(a + b) + c]
= a³+ b³ + c³ + 3ab (a + b) c [a + b + c ]
= a³ + b³ + c³ + 3ab (a+b) + 3ca (a + b) + 3bc (a + b) + 3c² (a + b)
= a³ + b³ + c³ + 3 (a + b) [ab + bc + ca + c²]
= a³ + b³ + c³ + 3 (a +b) [ b(a + c) + c (a + c)]
= a³ + b³ + c³ + 3 (a +b) (c + a ) ( b + c)
arranging
= a³ + b³ + c³ + 3 (a + b ) (b + c ) (c + a)
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