Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−53+56i
Evaluate
2−i3i
Multiply by the Conjugate
(2−i)(2+i)3i(2+i)
Calculate
More Steps
Evaluate
3i(2+i)
Apply the distributive property
3i×2+3i×i
Multiply the numbers
6i+3i×i
Multiply the numbers
More Steps
Evaluate
3i×i
Multiply
3i2
Use i2=−1 to transform the expression
3(−1)
Calculate
−3
6i−3
Reorder the terms
−3+6i
(2−i)(2+i)−3+6i
Calculate
More Steps
Evaluate
(2−i)(2+i)
Use (a−b)(a+b)=a2−b2 to simplify the product
22−i2
Evaluate the power
4−i2
Evaluate the power
4−(−1)
Calculate
5
5−3+6i
Use b−a=−ba=−ba to rewrite the fraction
−53−6i
Solution
−53+56i
Show Solution
