Question
Simplify the expression
58+56i
Evaluate
3−i6+2i
Multiply by the Conjugate
(3−i)(3+i)(6+2i)(3+i)
Calculate
More Steps

Evaluate
(6+2i)(3+i)
Apply the distributive property
6×3+6i+2i×3+2i×i
Multiply the numbers
18+6i+2i×3+2i×i
Multiply the numbers
18+6i+6i+2i×i
Multiply the numbers
More Steps

Evaluate
2i×i
Multiply
2i2
Use i2=−1 to transform the expression
2(−1)
Calculate
−2
18+6i+6i−2
Calculate
16+6i+6i
Multiply the numbers
More Steps

Evaluate
6i+6i
Collect like terms by calculating the sum or difference of their coefficients
(1+1)×6i
Calculate
2×6i
Multiply the numbers
12i
16+12i
(3−i)(3+i)16+12i
Calculate
More Steps

Evaluate
(3−i)(3+i)
Use (a−b)(a+b)=a2−b2 to simplify the product
32−i2
Evaluate the power
9−i2
Evaluate the power
9−(−1)
Calculate
10
1016+12i
Rewrite the expression
102(8+6i)
Cancel out the common factor 2
58+6i
Solution
58+56i
Show Solution
