Question
Simplify the expression
Solution
134+137i
Evaluate
3i+22i−1
Multiply by the Conjugate
(3i+2)(−3i+2)(2i−1)(−3i+2)
Calculate
More Steps

Evaluate
(2i−1)(−3i+2)
Apply the distributive property
2i(−3i)+2i×2−(−3i)−2
Multiply the numbers
More Steps

Evaluate
2i(−3i)
Multiply
2(−3)i2
Multiply
−6i2
Use i2=−1 to transform the expression
−6(−1)
Calculate
6
6+2i×2−(−3i)−2
Multiply the numbers
6+4i−(−3i)−2
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
6+4i+3i−2
Calculate
4+4i+3i
Calculate
More Steps

Evaluate
4i+3i
Collect like terms by calculating the sum or difference of their coefficients
(4+3)i
Calculate
7i
4+7i
(3i+2)(−3i+2)4+7i
Calculate
More Steps

Evaluate
(3i+2)(−3i+2)
Use (a+b)(a−b)=a2−b2 to simplify the product
22−(3i)2
Evaluate the power
4−(3i)2
Evaluate the power
More Steps

Evaluate
(3i)2
Evaluate
32i2
Evaluate the power
9i2
Evaluate the power
−9
4−(−9)
Calculate
13
134+7i
Solution
134+137i
Show Solution