Question

find Real and Imaginary part
(-1-i)^8 + (-1 + i)^8​

Answer 1

Answer:

So the real part is 32 and the imaginary part is 0

Answer 2

Answer:

$<marquee scrollamount=10>pls follow me and mark as brainliest$

Step-by-step explanation:

$\sf\red{( { - 1 - i)}^{8} + {( - 1 + i)}^{8}} \\\sf\purple{ = > {( - 1 - i)}^{2}}\sf\purple{ {( - 1 - i)}^{2}}\sf\purple{ {( - 1 - i)}^{2}}\sf \purple{{( - 1 - i)}^2 \ \purple{ {+ { ( - 1 + i) ^{2}( - 1 + i)2 ( - 1 + i)2(1 + i)2( - 1 + i)2}}}}$

$\sf \green{ {( - 1 - i)}^{2} = - 2i \: \: ( { - 1 + i})^{2} = 2i \: \: \: {i}^{2} = - 1}$

$\sf\orange{ - 2i \times - 2i \times - 2i \times - 2i + 2i \times 2i \times 2i \times \: 2i } \\ \sf\blue{ = > {16i}^{4} + {16i}^{4} } \\ \sf\red{ = > 16 + 16 \: \: \: ({i}^{4} = 1)} \\ \sf\blue{ = > 32 + 0\times i}$

$\small\boxed{ \fcolorbox{red}{lime}{here \: real \: part(a) = 32 \: and \: imaginary \: part(b) = 0}}$

$\large\boxed{ \fcolorbox{blue}{purple}{pls \: follow \: me}}$

$\large\boxed{ \fcolorbox{yellow}{purple}{mark \: as \: brainlist}}$