Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Express your answer in the form (a+bi).

(18−40i)−(−9+2i)= (18-40 i)-(-9+2 i)= \newlineExpress your answer in the form (a+bi) (a+b i) .

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Add, subtract, multiply, and divide complex numbersright chevron icon

Full solution

Q. (18−40i)−(−9+2i)= (18-40 i)-(-9+2 i)= \newlineExpress your answer in the form (a+bi) (a+b i) .
  1. Given expression: We are given the expression 4×5i4 \times 5i and we need to simplify it. To do this, we multiply the real number 44 by the imaginary number 5i5i.
  2. Perform multiplication: Perform the multiplication by multiplying the real part by the imaginary part. 4×5i=20i4 \times 5i = 20i
  3. Simplify the expression: Since there is no real part in the product, the real part is 00. Therefore, the expression in the form (a+bi)(a+bi) is 0+20i0 + 20i.

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

Question
Simplify.\newline8i+6i8i + 6i\newline\newlineWrite your answer in the form a+bia + bi.
Get tutor helpright-arrow

Posted 5 months ago

Question
Find the complex conjugate of the given number.\newline4+10i4 + 10i\newline\newlineWrite your answer in the form a+bia + bi.
Get tutor helpright-arrow

Posted 5 months ago

Question
Simplify.\newline−4i−9i\frac{{-4i}}{{-9i}}\newline\newlineWrite your simplified answer in the form a+bia + bi.
Get tutor helpright-arrow

Posted 5 months ago

Question
Combine the like terms to create an equivalent expression.\newline7k−k+19=07k-k+19=\boxed{\phantom{0}}
Get tutor helpright-arrow

Posted 10 months ago

Question
Apply the distributive property to factor out the greatest common factor.\newline9+12n= 9+12 n=
Get tutor helpright-arrow

Posted 5 months ago

Question
Solve the equation.\newline12=n−9n=□ \begin{aligned} & 12=n-9 \\ n= & \square \end{aligned}
Get tutor helpright-arrow

Posted 10 months ago

Question
What is the amplitude of y=−sin⁡(8x−3)+5 y=-\sin (8 x-3)+5 ?\newlineunits
Get tutor helpright-arrow

Posted 8 months ago

Question
What is the period of\newliney=4sin⁡(−2x+7)−1 ?  y=4 \sin (-2 x+7)-1 \text { ? } \newlineGive an exact value.\newlineunits
Get tutor helpright-arrow

Posted 8 months ago

Question
3⋅(3+20i)= 3 \cdot(3+20 i)= \newlineYour answer should be a complex number in the form a+bi a+b i where a a and b b are real numbers.
Get tutor helpright-arrow

Posted 10 months ago

Question
(35−23i)+(13+25i)= (35-23 i)+(13+25 i)= \newlineExpress your answer in the form (a+bi) (a+b i) .
Get tutor helpright-arrow

Posted 8 months ago

View all (15)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant