Question
Simplify the expression
2035−828i
Evaluate
(12i−5)3
Use (a−b)3=a3−3a2b+3ab2−b3 to expand the expression
(12i)3−3(12i)2×5+3×12i×52−53
Evaluate
More Steps

Evaluate
(12i)3
Evaluate
123i3
Calculate
123i2×i
Calculate
123(−1)i
Calculate
−1728i
−1728i−3(12i)2×5+3×12i×52−53
Evaluate
More Steps

Evaluate
−3(12i)2×5
Evaluate the power
More Steps

Evaluate
(12i)2
Evaluate
122i2
Evaluate the power
144i2
Evaluate the power
−144
−3(−144)×5
Multiply
More Steps

Multiply the terms
3(−144)×5
Rewrite the expression
−3×144×5
Multiply the terms
−2160
−(−2160)
Calculate
2160
−1728i+2160+3×12i×52−53
Evaluate
More Steps

Evaluate
3×12i×52
Multiply the numbers
36i×52
Multiply the numbers
900i
−1728i+2160+900i−53
Evaluate
−1728i+2160+900i−125
Simplify the expression
−828i+2035
Solution
2035−828i
Show Solution
