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kolbaska11 [484]
3 years ago
9

What's the value of the product (3-2i)(3+2i)

Mathematics
2 answers:
Nookie1986 [14]3 years ago
7 0

Answer:

the product (3-2i)(3+2i) is, 13

Step-by-step explanation:

Using the identity rule:

(a+b)(a-b) = a^2-b^2

Given that:

(3-2i)(3+2i)             ...[1]

here, i is the imaginary part.

i^2 = -1

Apply the rule on [1] we have;

(3)^2-(2i)^2

⇒9-(4i^2)

⇒9+4

Simplify:

13

Therefore, the product (3-2i)(3+2i) is, 13

qwelly [4]3 years ago
4 0
We have to multiply given (3-2i)(3+2i)
(3-2i)(3+2i)=9-6i+6i+4i^2
9+4i^2
We know that i^2=-1, so lets substitute it
9+4*(-1)=9-4=5

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What is the function graph if both the domain and range is (−∞, ∞)
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Answer:

(−∞, ∞) and (−∞, ∞)

Step-by-step explanation:

One example (of many) might be y = 2x.  The domain and range of this function are (−∞, ∞) and (−∞, ∞).

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Adele opens an account with $120 and deposits $45 a month. Kent opens an account with $80 and also deposits $45 a month. Will th
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3 years ago
The hypotenuse of a right triangle is 5 m long. The longer leg is 1 m longer than the shorter leg. Find the side lengths of the
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7 0
3 years ago
Simplify.<br> -5x^4(-3x^2+4x-2)
Amiraneli [1.4K]

Answer:

3x^6 - 4x^5 + 2x^4

Step-by-step explanation:

Given

-5x^4 ( -3x^2 + 4x - 2)

Step 1 : open the bracket with -5x^4

-5x^4 * -3x^2= 15x^6

Hint: - * - = +

x^4 * x ^2 = x^ 4+2 = x^6

-5x^4 * + 4x = - 20x^5

Hint: - * + = -

x^4 * x = x^4 + 1 = x^5

(x is always raise to the power of 1 but we don't write it or less it is greater than 1 e.g. 2 , 3 ,4, ..........)

-5x^4 * -2 = 10x^4

Hint: - *- = +

Let's combine the answers

15x^6 - 20x^5 + 10x^4

We can look for a factor that can go through as in that can divide all without a reminder

Factors of

15 - 3 * 5

1 * 15

20 - 4 *5

2 *10

1 * 20

10 - 2*5

1 * 10

Since the factor of 5 is common in all, so we are using 5 to divide through

15x^6 - 20x^5 + 10x^4

Using 5 to divide through

15x^6 / 5 - 20x^5 / 5 + 10x^4 / 5

= 3x^6 - 4x^5 + 2x^4

4 0
3 years ago
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