Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

(-10 i)+(-40+8i)=
Express your answer in the form
(a+bi).

$(-10 i)+(-40+8 i)=$ $\newline$ Express your answer in the form $(a+b i)$ .

View step-by-step help

View step-by-step help

Add, subtract, multiply, and divide complex numbers

Full solution

Q.

(-10 i)+(-40+8 i)=

\newline

Express your answer in the form

(a+b i)

.

Combine Like Terms: First, we need to combine like terms. The like terms are the imaginary parts $(-10i$ and $8i$ ) and the real parts $(0$ and $-40$ , since there is no real part with $-10i$ ). $\newline$ $(-10i) + (-40 + 8i) = (-10i + 8i) + (-40$
Simplify Imaginary Parts: Now, we simplify the imaginary parts by adding them together. $-10i + 8i = -2i$
Combine Real and Imaginary Parts: Next, we combine the simplified imaginary part with the real part. $\newline$ $-2i + (-40) = -40 - 2i$
Standard Form: The expression is now in the standard form $a + bi$ , where $a$ is the real part and $b$ is the coefficient of the imaginary part. $\newline$ So, the simplified form is $-40 - 2i$ .

More problems from Add, subtract, multiply, and divide complex numbers

Question

What is the period of

y=3 \cos (x-7)+2

\newline

Give an exact value.

\newline

Posted 3 months ago

Question

(8-i)-(-82+2 i)=

\newline

Express your answer in the form

(a+b i)

Posted 3 months ago

Question

(80 i)-(80+10 i)=

\newline

Express your answer in the form

(a+b i)

Posted 3 months ago

Question

Express the radical using the imaginary unit,

i

\newline

Express your answer in simplified form.

\newline

\pm \sqrt{-64}= \pm

Posted 3 months ago

Question

Which of the following is equivalent to the complex number

i^{21}

\newline

1

\newline

1

\newline

i

\newline

-1

\newline

-i

Posted 3 months ago

Question

Express the radical using the imaginary unit,

i

\newline

Express your answer in simplified form.

\newline

\pm \sqrt{-30}= \pm

Posted 3 months ago

Question

Express the radical using the imaginary unit,

i

\newline

Express your answer in simplified form.

\newline

\pm \sqrt{-35}= \pm

Posted 3 months ago

Question

Express the radical using the imaginary unit,

i

\newline

Express your answer in simplified form.

\newline

\pm \sqrt{-80}= \pm

Posted 3 months ago

Question

Express the radical using the imaginary unit,

i

\newline

Express your answer in simplified form.

\newline

\pm \sqrt{-4}= \pm

Posted 3 months ago

Question

-1

1

1

}{x}\sqrt{\frac{

1

1

-x}}\ln{\left(\frac{

2

2

2

1

2

2

-2

1

Posted 10 hours ago