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igomit [66]
3 years ago
7

What is the value of the product (3 – 2i)(3 + 2i)?

Mathematics
2 answers:
eimsori [14]3 years ago
6 0

Answer:

13

Step-by-step explanation:

(3 - 2i)(3 + 2i)

Expand

(9 + 6i - 6i - 4i^2)

Add

(9 - 4i^2)

Convert i^2

i^2 = (\sqrt{-1})^2 = -1

(9 - 4(-1))

Add

(9 + 4)

= 13

Semenov [28]3 years ago
3 0

Answer:

13.

Step-by-step explanation:

(3 - 2i)(3 + 2i)

= (3 * 3) + (-2i * 3) + (2i * 3) + (-2i * 2i)

= 9 - 6i + 6i - 4\sqrt{-1} ^{2}

= 9 - 4(-1)

= 9 + 4

= 13

Hope this helps!

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OlgaM077 [116]

Answer:

\frac{1}{(x-3)(x-2)}

Step-by-step explanation:

Factorise the denominators of both fractions

x² - 9 and x² - 4 are both differences of squares and factor as

x² - 9  = (x - 3)(x + 3) and x² - 4 = (x - 2)(x + 2), thus express as

\frac{x+2}{(x-3)(x+3)} × \frac{x+3}{(x-2)(x+2)}

Cancel the factors (x + 3) and (x + 2) from the numerators/denominators of both fractions leaving

\frac{1}{(x-3)(x-2)}



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3 years ago
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Romashka-Z-Leto [24]

It's 30 degrees

Step-by-step explanation:

Hope this helps!

3 0
2 years ago
9c - 10 = 2c + 53 <br>find what is c.​
NARA [144]

Answer:

c = 9

Step-by-step explanation:

9c - 10 = 2c + 53

9c =2c + 63

7c = 63

c = 9

5 0
3 years ago
Read 2 more answers
Factor Completely: 12x2 + 22x + 6 A) (2x+ 3)(6x + 2) B) 6(x + 1)(2x + 1) C) 2(2x + 3)(3x + 1) D) 2(2x + 1)(3x + 3)
tia_tia [17]

Answer:

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Step-by-step explanation:

12x² + 22x + 6

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2 [ 3x ( 2x + 3 ) + 1 ( 2x + 3 ) ]

2 ( 2x + 3 ) ( 3x + 1 )  ⇒ C

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3 years ago
What is the number name for 3,152,308
Gemiola [76]
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3 years ago
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