What is the formula of (a^3+b^3)?

caigis72da

caigis72da

Answered question

2023-03-17

What is the formula of a3+b3?

Answer & Explanation

uwafundebz3v

uwafundebz3v

Beginner2023-03-18Added 8 answers

Find the formula for a3+b3.
Since, for any real number aandb
(a+b)3=a3+b3+3ab(a+b)(1)
Based on the equation(1), the value a3+b3 the following is derived:
a3+b3=a+b3-3aba+ba3+b3=a+ba+b2-3ab(2)
Replace with the value of a+b2 from (a+b)2=a2+b2+2ab in (2):
a3+b3=a+ba2+b2+2ab-3aba3+b3=a+ba2+b2-ab
Thus, the formula for a3+b3 is a3+b3=a+ba2+b2-ab.

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