Mathematics
06.06.2022 00:56
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Anybody know the answer to this??

Anybody know the answer to this??
Anybody know the answer to this??
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ishmaya43
ishmaya43
4,9(95 marks)

It can't be expressed in that form

Step-by-step explanation:

From difference of two squares:

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

a » 9

b » 2i

(9 + 2i)(9 - 2i) =  \{ {(9)}^{2}  -  {(2i)}^{2}  \} \\  \\  = (81 - 4 {i}^{2} )

but i² is -1 [ complex numbers ]

=  \{81 - 4( - 1) \} \\  = 81 + 4 \\  = 85

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