Question

expand with identity (2a³+b³)(2a³-b³)​

Answer 1

$\: \: \: \: \: \: \: \: \: \: \: \: \large\pmb{ \boxed{ \underline{ \sf \: Question : }}}$

• expand with identity (2a³+b³)(2a³-b³)

$\: \: \: \: \: \: \: \: \: \: \: \: \: \large \pmb {\boxed{ \underline{ \sf \:solution : }}}$

$\pink\implies \sf2 {a}^{3} (2 {a}^{3} - {b}^{3} ) + {b}^{3} (2 {a}^{2} - {b}^{3} )$

$\pink \implies\sf2 {a}^{3} (2 {a}^{3} ) + 2 {a}^{3} ( - {b}^{3} ) + {b}^{3} (2 {a}^{3} - {b}^{3}$

$\pink \implies\sf4 {a}^{3} \times {a}^{3} + 2 {a}^{3} ( - {b}^{3} ) + {b}^{3} (2 {a}^{3} - {b}^{3}$

$\pink \implies \sf4 {a}^{6} + 2 {a}^{3} ( - {b}^{3} ) + {b}^{3} (2 {a}^{3} - {b}^{3}$

$\pink\implies \sf4 {a}^{6} - 2 {a}^{3} {b}^{3} + {b}^{3} (2 {a}^{3} - {b}^{3} )$

$\pink \implies \sf4 {a}^{3} - 2 {a}^{3} {b}^{3} + (b {}^{3} (2 {a}^{3} ) + {b}^{3} ( - b {}^{3} ))$

$\pink \implies\sf4 {a}^{6} - 2 {a}^{3} {b}^{3} + (2 {a}^{3} {b}^{3} - {b}^{6} )$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \pink \implies {\underline {\underline{ \sf4 {a}^{6} - {b}^{6} }}}$

Answer 2

$\: \: \: \: \: \: \: \: \: \: \: \: \large\pmb{ \boxed{ \underline{ \sf \: Question : }}}$

• expand with identity (2a³+b³)(2a³-b³)

$\: \: \: \: \: \: \: \: \: \: \: \: \: \large \pmb {\boxed{ \underline{ \sf \:solution : }}}$

$\pink\implies \sf2 {a}^{3} (2 {a}^{3} - {b}^{3} ) + {b}^{3} (2 {a}^{2} - {b}^{3} )$

$\pink \implies\sf2 {a}^{3} (2 {a}^{3} ) + 2 {a}^{3} ( - {b}^{3} ) + {b}^{3} (2 {a}^{3} - {b}^{3}$

$\pink \implies\sf4 {a}^{3} \times {a}^{3} + 2 {a}^{3} ( - {b}^{3} ) + {b}^{3} (2 {a}^{3} - {b}^{3}$

$\pink \implies \sf4 {a}^{6} + 2 {a}^{3} ( - {b}^{3} ) + {b}^{3} (2 {a}^{3} - {b}^{3}$

$\pink\implies \sf4 {a}^{6} - 2 {a}^{3} {b}^{3} + {b}^{3} (2 {a}^{3} - {b}^{3} )$

$\pink \implies \sf4 {a}^{3} - 2 {a}^{3} {b}^{3} + (b {}^{3} (2 {a}^{3} ) + {b}^{3} ( - b {}^{3} ))$

$\pink \implies\sf4 {a}^{6} - 2 {a}^{3} {b}^{3} + (2 {a}^{3} {b}^{3} - {b}^{6} )$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \pink \implies {\underline {\underline{ \sf4 {a}^{6} - {b}^{6} }}}$