Question
Simplify the expression
Solution
i
Evaluate
1−i1+i
Multiply by the Conjugate
(1−i)(1+i)(1+i)(1+i)
Calculate
More Steps
Evaluate
(1+i)(1+i)
Apply the distributive property
1+i+i+i×i
Multiply the numbers
More Steps
Evaluate
i×i
Multiply
i2
Use i2=−1 to transform the expression
1×(−1)
Calculate
−1
1+i+i−1
Calculate
i+i
Calculate
0+i+i
Calculate
More Steps
Evaluate
i+i
Collect like terms by calculating the sum or difference of their coefficients
(1+1)i
Calculate
2i
2i
(1−i)(1+i)2i
Calculate
More Steps
Evaluate
(1−i)(1+i)
Use (a−b)(a+b)=a2−b2 to simplify the product
12−i2
Evaluate the power
1−i2
Evaluate the power
1−(−1)
Calculate
2
22i
Solution
i
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