(13 + i)(13 - i) simplify the expression

asked May 22, 2023 122k views

4 votes

by Frntn

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7 votes

Answer:

${ \tt{(13 + i)(13 - i)}}$

From difference of two squares identity;

${ \tt{(a + b)(a - b) = ( {a}^(2) - {b}^(2) ) }}$

Therefore; Consider

$= { \tt{( {13}^(2) - {i}^(2) )}} \\ \\ = { \tt{169 - ( - 1)}} \\ \\ = 170$

Lukewarm answered May 28, 2023

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