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Leni [432]
2 years ago
15

(2x + 3y)^2– (2x – 3y)^2

Mathematics
1 answer:
Korolek [52]2 years ago
6 0

Hi,

(2x + 3y)² - (2x - 3y)²

  • (a + b)² = a² + 2ab + b²
  • (a - b)² = a² - 2ab + b²

= [(2x)² + 2x*3y + (3y)²] - [(2x)² - 2x*3y + (3y)²]

= (4x² + 6xy + 9y²) - (4x² - 6xy + 9y²)

= 4x² + 6xy + 9y² - 4x² + 6xy - 9y²

= 12xy

I hope it helped ✅(◠‿◕)

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4 0
3 years ago
What is the value of (7 + 2i)(3 - i)?
Harrizon [31]
There are two ways to work this out: normal variables or using "imaginary" numbers.

Normal variables:
(7+2i)(3-i)\\(7*3)+[7*(-i)]+(3*2i)+[2i*(-i)]\\21-7i+6i-2i^{2}\\\\21-i-2i^{2}

Imaginary numbers:
Using the result from earlier:
21-i-2i^{2}
Now since i = \sqrt{-1}, then the expression becomes:
21-i-2i^{2}\\21-i-2(\sqrt{-1})^{2}\\21-i+(-2)(-1)\\21-i+2\\\\23-i
7 0
3 years ago
When i muiltplyied 3.675 x 10 i got 36.75. my question is why did the decimal move? and how.
qaws [65]

Answer:

It moved because of this:

Step-by-step explanation:

the number 10 has one 0 in it.

you move the decimal place over how many times depending on how many 0s there are, so because there is <u>one</u><u> </u>0 in 10, you move it over <u>once</u>.

hope this helped!

3 0
3 years ago
HELP PLEASE........ on these 2​
tester [92]
For y=4 draw a horizontal line through the y-axis at point (0,4). Y-axis is the vertical.
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8 0
3 years ago
Charlie bought 40 oz of flour for his bakery. He used 18.3 oz to make a loaf of bread, and 0.95 oz for each muffin. How many muf
Furkat [3]

Division is one of the four fundamental arithmetic operations. With the leftover flour of 7.45oz, charlie can make approximately 8 muffins.

<h3>What is Division?</h3>

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

A.) The total flour Charlie has was 40 oz, out of this he used 18.3 oz of flour. The amount of flour left now would be 21.7 (40-18.3).

Since a single muffin uses 0.95 oz of flour, therefore, the number of muffins Charlie made will be,

Number of muffins = 21.7/0.95 = 22.84 ≈ 23 muffins

B.) When Charlie had 7.45 oz of flour leftover, then the number of muffins would be,

Number of muffins = 7.45/0.95 = 7.84 ≈ 8 muffins

Hence, with the leftover flour of 7.45oz charlie can make approximately 8 muffins.

Learn more about Division:

brainly.com/question/369266

#SPJ1

8 0
2 years ago
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