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creeconnell1
29.01.2020 •
Mathematics
C. use the identity for the difference of two squares, , and the imaginary number i to create an identity for the sum of two squares. show that the identity is true.
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Ответ:
a² - b² = (a + b)(a - b)
Note that by definition, i² = -1.
Then
a² - (bi)² = a² - i²b² = a² - (-1)b² = a² + b².
Also from the identity,
a² - (bi)² = (a + bi)(a - bi) = a² - abi + abi - i²b² = a² - (-1)*b² = a² + b²
Therefore
a² - (bi)² = a² + b²
This identity is true.
Ответ:
thx
Step-by-step explanation: