Resolve into factors;
8a^3 + b^3
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Step-by-step explanation:
8a³-b³
=(2a)³-b³
a³-b³=(a-b)(a²+ab+b²)
Proof : (a-b)•(a2+ab+b2) =
a3+a2b+ab2-ba2-b2a-b3 =
a3+(a2b-ba2)+(ab2-b2a)-b3 =
a3+0+0+b3 =
a3+b3
Factorization is :
(2a - b) • (4a2 + 2ab + b2)
Final result :
(2a - b) • (4a2 + 2ab + b2).
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