Question

$what \: is \: { \alpha }^{4} + { \beta }^{4} =$
​I need FORMULA

Answer 1

$\huge{ \underline{ \underline{ \blue{ \mathcal{AnSwEr}}}}}$

$\bf{(i) \: { \alpha }^{4} + { \beta }^{4} } \\ = \bf{ {( { \alpha }^{2} - { \beta }^{2}) }^{2} + 2 { \alpha }^{2} { \beta }^{2} } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf{ \red{(or)}} \\ = \bf{ {[( \alpha + \beta )( \alpha - \beta )]}^{2} + 2 { \alpha }^{2} { \beta }^{2} }$