Match each expression to its equivalent standard form
2 answers:
Move the first one to the bottom,then the second to the top ans you will know where to put the rest
Answer:
1. x² + 2x + 2
2. x² + 4
3. x² - 4x + 8
Step-by-step explanation:
(1) ( x+1+i ) ( x+1-i )
= ( x+1 )²- i² [ Since ( a+b ) ( a-b ) = a² - b² ]
= x² + 1 + 2x - ( √-1 )²
= x² + 1 + 2x + 1
= x² + 2x + 2
(2) ( x+2i ) ( x - 2i )
= x² - (2i)² [ ( a+b ) ( a-b ) = a² b²
= x² - 4i²
= x² - 4 (-1) [Since i² = -1 ]
= x² + 4
(3) ( x - 2i - 2 ) (x + 2i - 2 )
= ( x-2 )² - ( 2i )² [ ( a+b ) ( a-b ) = a² - b² ]
= x² + 4 - 4x - 4 ( i )²
= x² + 4 - 4x - 4 ( -1 )²
= x² - 4x + 4 + 4
= x² - 4x + 8
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