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Let’s check out your problem:
(
18
−
40
i
)
−
(
−
9
+
2
i
)
=
(18-40 i)-(-9+2 i)=
(
18
−
40
i
)
−
(
−
9
+
2
i
)
=
\newline
Express your answer in the form
(
a
+
b
i
)
(a+b i)
(
a
+
bi
)
.
View step-by-step help
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Math Problems
Algebra 2
Add, subtract, multiply, and divide complex numbers
Full solution
Q.
(
18
−
40
i
)
−
(
−
9
+
2
i
)
=
(18-40 i)-(-9+2 i)=
(
18
−
40
i
)
−
(
−
9
+
2
i
)
=
\newline
Express your answer in the form
(
a
+
b
i
)
(a+b i)
(
a
+
bi
)
.
Given expression:
We are given the expression
4
×
5
i
4 \times 5i
4
×
5
i
and we need to simplify it. To do this, we multiply the real number
4
4
4
by the imaginary number
5
i
5i
5
i
.
Perform multiplication:
Perform the multiplication by multiplying the real part by the imaginary part.
4
×
5
i
=
20
i
4 \times 5i = 20i
4
×
5
i
=
20
i
Simplify the expression:
Since there is no real part in the product, the real part is
0
0
0
. Therefore, the expression in the form
(
a
+
b
i
)
(a+bi)
(
a
+
bi
)
is
0
+
20
i
0 + 20i
0
+
20
i
.
More problems from Add, subtract, multiply, and divide complex numbers
Question
Simplify.
\newline
8
i
+
6
i
8i + 6i
8
i
+
6
i
\newline
\newline
Write your answer in the form
a
+
b
i
a + bi
a
+
bi
.
Get tutor help
Posted 9 months ago
Question
Find the complex conjugate of the given number.
\newline
4
+
10
i
4 + 10i
4
+
10
i
\newline
\newline
Write your answer in the form
a
+
b
i
a + bi
a
+
bi
.
Get tutor help
Posted 9 months ago
Question
Simplify.
\newline
−
4
i
−
9
i
\frac{{-4i}}{{-9i}}
−
9
i
−
4
i
\newline
\newline
Write your simplified answer in the form
a
+
b
i
a + bi
a
+
bi
.
Get tutor help
Posted 9 months ago
Question
Combine the like terms to create an equivalent expression.
\newline
7
k
−
k
+
19
=
0
7k-k+19=\boxed{\phantom{0}}
7
k
−
k
+
19
=
0
Get tutor help
Posted 1 year ago
Question
Apply the distributive property to factor out the greatest common factor.
\newline
9
+
12
n
=
9+12 n=
9
+
12
n
=
Get tutor help
Posted 9 months ago
Question
Solve the equation.
\newline
12
=
n
−
9
n
=
□
\begin{aligned} & 12=n-9 \\ n= & \square \end{aligned}
n
=
12
=
n
−
9
□
Get tutor help
Posted 1 year ago
Question
What is the amplitude of
y
=
−
sin
(
8
x
−
3
)
+
5
y=-\sin (8 x-3)+5
y
=
−
sin
(
8
x
−
3
)
+
5
?
\newline
units
Get tutor help
Posted 1 year ago
Question
What is the period of
\newline
y
=
4
sin
(
−
2
x
+
7
)
−
1
?
y=4 \sin (-2 x+7)-1 \text { ? }
y
=
4
sin
(
−
2
x
+
7
)
−
1
?
\newline
Give an exact value.
\newline
units
Get tutor help
Posted 1 year ago
Question
3
⋅
(
3
+
20
i
)
=
3 \cdot(3+20 i)=
3
⋅
(
3
+
20
i
)
=
\newline
Your answer should be a complex number in the form
a
+
b
i
a+b i
a
+
bi
where
a
a
a
and
b
b
b
are real numbers.
Get tutor help
Posted 1 year ago
Question
(
35
−
23
i
)
+
(
13
+
25
i
)
=
(35-23 i)+(13+25 i)=
(
35
−
23
i
)
+
(
13
+
25
i
)
=
\newline
Express your answer in the form
(
a
+
b
i
)
(a+b i)
(
a
+
bi
)
.
Get tutor help
Posted 1 year ago
Related topics
Algebra - Order of Operations
Algebra - Distributive Property
`X` and `Y` Axes
Geometry - Scalene Triangle
Common Multiple
Geometry - Quadrant