Question

evaluate (a+b)³-(a-b)³​

Answer 1

❄️ Solution :

$\begin{gathered} \large\boxed{ \blue{ \tt \: Evaluate ~~ (a+b)³~–~(a \: – \: b)³}} \\ \\ \sf (a+b)³~–~(a \: – \: b)³ \\ \\ \implies \sf [a³+b³+3a b~(a+b)]~-~[a³~-~b³~3ab(a~-~b)] \\ \\ \implies \sf \: a³+b³+3a {}^{2} b + 3ab {}^{2} - a {}^{3} + b {}^{3} + 3a {}^{2} b - 3ab {}^{2} \\ \\ \implies \sf2b {}^{2} + 6a {}^{2} b \\ \\ \tt \: or \\ \\ \sf 2b(b {}^{2} + 3a {}^{2} )\end{gathered}$

❄️ Answer :

$\begin{gathered}\\\end{gathered}$

• 2b³ + 6a²b or 2b (b² + 3a²)