1. Use the distributive property to multiply each expression. 2. Recall that i2=-1. Simplify each expression. Write any complex numbers in standard form, a+bi, and write binomials in standard quadratic form.
3. Compare and contrast the multiplication of real numbers and the multiplication of complex numbers.
6x(3+2x)=
6i(3+2i)=
Answers
The multiplication of 6x(3+2x) is 18x + 12x² and 6i(3+2i) is 18i - 12 because i² can be written as -1.
What is a complex number?
It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
It is given that:
The expression:
= 6x(3 + 2x)
After using distributive property:
= 18x + 12x²
= 6i(3+2i)
= 18i + 12i²
= 18i - 12
∵i² = -1
Real and complex numbers are multiplied in exactly the same way, with the exception that we can further condense the complex expression by substituting i² for -1.
Thus, the multiplication of 6x(3+2x) is 18x + 12x² and 6i(3+2i) is 18i - 12 because i² can be written as -1.
Learn more about the complex number here:
#SPJ2
Answer:
Step-by-step explanation:
Related Questions
If (x - 2)² = 49 , then x could be?
Use a special right triangle to write tan 60° as a fraction
If an automobile travels 450 yards in 15 seconds, how many feet does it travel in 1/3 of a second?how do I calculate this problem?
What fraction is the same as seven tenths
of B?
Answers
Answer:
-3,8
Step-by-step explanation:
Answers
I don't know ... That's a toughie.
Try +30 and -30 , and let me know what you find.
() 4x + 1
() 4x2
() 4x + 2
() 4% = 1
Answers
first answer: -4x-1
.............
Answer:
-4×-1
Step-by-step explanation:
Answers
3/y - 2 = 8
3/y = 8 + 2
3/y = 10 /*y
3 = 10y /10
y = 3/10
The correct result would be 3/10.
Answers
You have 40/100 = 32/x
What you can do is cross multiply
40 32
--- ---
100 x
Multiply 32 by 100 and divide by 40, you should get your answer. (Namely 80)
40% * x =32