Question

Prove that a³+b³=(a+b) (a²-ab+b²)

Answer 1

hope this answer helps you

Answer 2

$RHS = (a+b)(a^{2} - ab + b^{2}) \\= a(a^{2} - ab + b^{2})+b(a^{2} - ab + b^{2})\\= a^{3} - a^{2}b+ab^{2} +a^{2}b-ab^{2}+b^{3} \\= a^{3} -a^{2}b+a^{2}b-ab^{2}+ab^{2}+b^{3} \\= a^{3} + b^{3} \\= LHS$

$RHS = LHS$

$Hence \:proved$

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