(a+b) (a^2-ab+b^2)=a^3+b^3
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Step-by-step explanation:
(a-b)(a²+ab+b²)
= a(a²+ab+b²) -b(a²+ab+b²)
=a³+ a²b+ ab²- a²b- ab²- b³
=(a³-b³) + (a² b -a²b) + (ab²- ab²)
=a³-b³ + 0+ 0
=a³-b³
(a-b)(a²+ab+b²)= a³-b³
hence proved
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