a+2c+3b=0 then what is a^{3}+8b^{3}+27c^{3}?

felpillauvc

felpillauvc

Answered question

2022-02-05

a+2c+3b=0 then what is a3+8b3+27c3?

Answer & Explanation

ungabav6k

ungabav6k

Beginner2022-02-06Added 8 answers

We can rewrite one of the letters as an expression in the others.
a+2c+3b=0a=2c3b
Then we replace every a in the second expression:
a3+8b3+27c3=
(2c3b)3+8b3+27c3=
(8c336bc254b2c19b3)+8b3+27c3=
19c336bc254b2c10b3
Then the b3s and c3s would have cancelled out nicer.
a=2b3c
(2b3c)3+8b3+27c3=
(8b336b2c54c227c3)+8b3+27c3=
36b2c54bc2or 18bc(2b3c)
and, since a=2b3c we can rewrite that:
Answer:
a3+8b3+27c3=18abc

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