{left| {{z_1} + {z_2}} right|^2} + {left| {{z | vedclass

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Question

${	herefore \quad {{\left| {{z_1} + {z_2}} ight|}^2} + {{\left| {{z_1} - {z_2}} ight|}^2}}$

${ = {{\left| {{z_1}} ight|}^2} + {{\left| {{z_2

Vedclass · Accepted Answer

$2\left( {{{\left| {{z_1}} \right|}^2} + {{\left| {{z_2}} \right|}^2}} \right)$

Vedclass · Answer

${	herefore \quad {{\left| {{z_1} + {z_2}} ight|}^2} + {{\left| {{z_1} - {z_2}} ight|}^2}}$

${ = {{\left| {{z_1}} ight|}^2} + {{\left| {{z_2}} ight|}^2} + }$ ${2\left| {{z_1}} ight|\left| {{z_2}} ight| + {{\left| {{z_1}} ight|}^2}}$ ${ + {{\left| {{z_2}} ight|}^2} - 2\left| {{z_1}} ight|\left| {{z_2}} ight|}$

${ = 2{{\left| {{z_1}} ight|}^2} + 2{{\left| {{z_2}} ight|}^2}}$ ${ = 2\left[ {{{\left| {{z_1}} ight|}^2} + {{\left| {{z_2}} ight|}^2}} ight]}$

${\left| {{z_1} + {z_2}} \right|^2} + {\left| {{z_1} - {z_2}} \right|^2}$ is equal to

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