Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Multiply and simplify the following complex numbers:

(-4-4i)*(-5-3i)

Multiply and simplify the following complex numbers: $\newline$ $(-4-4 i) \cdot(-5-3 i)$

View step-by-step help

View step-by-step help

Multiply numbers written in scientific notation

Full solution

Q. Multiply and simplify the following complex numbers:

\newline

(-4-4 i) \cdot(-5-3 i)

Distribute terms in complex numbers: Distribute each term in the first complex number by each term in the second complex number. $\newline$ $(-4-4i) \times (-5-3i) = (-4 \times -5) + (-4 \times -3i) + (-4i \times -5) + (-4i \times -3i)$
Calculate products of real numbers and imaginary unit: Calculate the products of the real numbers and the products involving the imaginary unit $i$ . $(-4 \times -5) = 20$ $(-4 \times -3i) = 12i$ $(-4i \times -5) = 20i$ $(-4i \times -3i) = 12i^2$ Since $i^2 = -1$ , we replace $i^2$ with $-1$ .
Replace $i^2$ with $-1$ and simplify: Replace $i^2$ with $-1$ and simplify the expression. $\newline$ $12i^2 = 12 \times -1 = -12$ $\newline$ Now we combine the real parts and the imaginary parts. $\newline$ $20 + 12i + 20i - 12$
Combine real and imaginary parts: Combine like terms (real with real and imaginary with imaginary). $\newline$ $(20 - 12) + (12i + 20i) = 8 + 32i$

More problems from Multiply numbers written in scientific notation

Question

16 a+72

to identify the equivalent expressions.

\newline

2

\newline

4(4 a+18)

\newline

8(2 a+9)

\newline

2(8+36 a)

\newline

2(8 a+72)

Posted 10 months ago

Question

30-6 v-18 w

to identify the equivalent expressions.

\newline

2

\newline

2(15-12 v)

\newline

3(10-3 v+6 w)

\newline

6(5-v-3 w)

\newline

2(15-3 v-9 w)

Posted 10 months ago

Question

24 m-12 p+72

to identify the equivalent expressions.

\newline

2

\newline

6(4 m+2 p+12)

\newline

2(12 m-6 p+36)

\newline

12(2 m-p+6)

\newline

24(m-12 p+3)

Posted 10 months ago

Question

48-8 x

to identify the equivalent expressions.

\newline

2

\newline

3(16-8 x)

\newline

2(24-4 x)

\newline

8(6-x)

\newline

4(12-4 x)

Posted 7 months ago

Question

Multiply and simplify the following complex numbers:

\newline

(-3-2 i) \cdot(-4+2 i)

Posted 10 months ago

Question

Multiply and simplify the following complex numbers:

\newline

(1-2 i) \cdot(4+i)

Posted 9 months ago

Question

Multiply and simplify the following complex numbers:

\newline

(-1+4 i) \cdot(4-3 i)

Posted 10 months ago

Question

Multiply and simplify the following complex numbers:

\newline

(1+5 i) \cdot(-3-i)

Posted 10 months ago

Question

Multiply and simplify the following complex numbers:

\newline

(-2+2 i) \cdot(5+5 i)

Posted 10 months ago

Question

You pick a card at random, put it back, and then pick another card at random.

\newline

4

\newline

5

\newline

6

\newline

7

\newline

What is the probability of picking a number greater than

5

and then picking a

4

\newline

Write your answer as a percentage.

Posted 1 month ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant