Question
Simplify the expression
−2−2i
Evaluate
(1−i)3
Use (a−b)3=a3−3a2b+3ab2−b3 to expand the expression
13−3×12×i+3×1×i2−i3
1 raised to any power equals to 1
1−3×12×i+3×1×i2−i3
Evaluate
More Steps

Evaluate
−3×12×i
1 raised to any power equals to 1
−3×1×i
Multiply the terms
−3i
1−3i+3×1×i2−i3
Evaluate
More Steps

Evaluate
3×1×i2
Evaluate the power
3×1×(−1)
Rewrite the expression
3(−1)
Simplify
−3
1−3i−3−i3
Evaluate
More Steps

Evaluate
−i3
Evaluate the power
More Steps

Evaluate
i3
Calculate
i2×i
Calculate
−i
−(−i)
Calculate
i
1−3i−3+i
Solution
−2−2i
Show Solution
