$(5 + 12i) - (9 {i}^{2} - 6i) \\ = (5 + 12i) - (9 \times (- 1) - 6i) \\ = (5 + 12i) - ( - 9 - 6i) \\ = (5 + 12i) + ( 9 + 6i) \\ = 5 + 12i + 9 + 6i \\ \red { \bold{ = 14 + 18i}}$

5 0

2 years ago

Hello there!

Goryan [66]

$(x^2+3)^2 + 7x^2+21=-10$

We want to convert this equation in terms of m, where $m = x^2+3$

While solving this problem, I instantly noticed the $x^2+3$ in the first term of the equation. Replace that with m.

$m^2 + 7x^2+21=-10$

Simplifying the rest is not as obvious. Using the distributive property, we can change $[7x^2+21]$ to $[7(x^2+3)]$

Do you see the "m" in here? Look again if you don't.

Now we can simplify the equation to $m^2 + 7m=-10$ and this cannot be simplified further.

I'm always happy to help someone who appreciates the help! :D

6 0

2 years ago

Read 2 more answers

If the diameter of a circle pond is 42 m what is the area of the pond

svetoff [14.1K]

Answer:

1384.74m²

Step-by-step explanation:

Area = πd² ➗ 4

Area = 3.14 x 42² ➗ 4

Area = 5538.96/4

Area = 1384.74m²

I hope this was helpful, Please mark as brainliest.

5 0

3 years ago