I have to match each expression to its equivalent form. Please help me out

Mathematics

1 answer:

Delvig [45]3 years ago

3 0

Answer:

x^2 - 12x + 37

x^2 + 16

x^2 + 6x + 34

Step-by-step explanation:

Let's expand the first one:-

(x - 6 + i)(x - 6 - i)

= x^2 - 6x - ix - 6x + 36 + 6i + ix - 6i - i^2

= x^2 - 12x -ix + ix - 6i + 6i + 36 - (-1)

= x^2 - 12x + 37 (answer).

(x + 4i)(x - 4i)

= x^2 + 4ix - 4ix -16 i^2

= x^2 + 16 (answer).

(x + 3 + 5i)(x + 3 - 5i)

= x^2 + 3x - 5ix + 3x + 9 - 15i + 5ix + 15i - 25 i^2

= x^2 + 6x + 34. (answer).

You might be interested in

The sum of the numbers m, n, and p is 24. The ratio

beks73 [17]

Answer:

Step-by-step explanation:

m+n+p

m:n:P

<h3>2:5</h3><h3><u>0:5:3</u></h3><h3>10:25:15</h3><h3>divide 10,25 and 15 by 5</h3><h3>2+5+3=24</h3><h3>10x=24</h3><h3>x=2.4</h3><h3>n=2.4x25</h3><h3>ans= 60</h3>

3 0

4 years ago

PLEASE HELP ME? I have no idea what to do?

Stels [109]

Answer:

multiply t from both sides by t, then divide both sides by s.

it should be txy/s = r

6 0

3 years ago

Read 2 more answers

Please help and show work and steps

ki77a [65]

Answer:

I and III

Step-by-step explanation:

On a unit circle, the only two angles whose sine is $-\dfrac{\sqrt{3}}{2}$ are $\dfrac{4\pi}{3}$ and $\dfrac{5\pi}{3}$ , otherwise known as $-\dfrac{\pi}{3}$ . Therefore, the correct answers are I and III. You can see the unit circle below, where the y coordinates of the above angles show $-\dfrac{\sqrt{3}}{2}$ .