1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dimas [21]
3 years ago
6

( x + 2 )^2 - ( y + 2 )^2

Mathematics
1 answer:
GarryVolchara [31]3 years ago
3 0

The difference of two squares factoring pattern states that a difference of two squares can be factored as follows:

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

So, whenever you recognize the two terms of a subtraction to be two squares, you can factor it as the sum of the roots multiplied by the difference of the roots.

In this case, the squares are obvious: (x+2)^2 is the square of x+2, and (y+2)^2 is the square of y+2

So, we can factor the expression as

(x+2)^2 - (y+2)^2 = [(x+2)+(y+2)] - [(x+2)+(y+2)]

(the round parenthesis aren't necessary, I used them only to make clear the two terms)

We can simplify the expression summing like terms:

(x+2)^2 - (y+2)^2 = [(x+2)+(y+2)][(x+2)-(y+2)] = (x+y+4)(x-y)

You might be interested in
Find the size of each of the unknown angles.
kari74 [83]

Answer:

Angle a = 80°, Angle b = 55°, Angle c = 45°, Angle d = 80°

Step-by-step explanation:

To find the measure of Angle a, we add 55 and 45, then subtract the sum from 180.

180 - 100 = 80

Angle a is 80°.

Then, we solve for Angle b. Line segment CD is congruent to Line AB, so Angle b is congruent to 55°.

After that, we find Angle c. Line segment AC is congruent to Line segment BD, so Angle c is congruent to 45°.

Lastly, we solve for Angle d using the same method we used for Angle b and Angle c. Angle d is congruent to Angle a, so it measures 80°.

So, Angle a = 80°, Angle b = 55°, Angle c = 45°, Angle d = 80°.

8 0
3 years ago
Please ANSWER 15 POINTS
lapo4ka [179]

The answer is A. Battery

8 0
3 years ago
Below are the supply and demand equations for blenders in a certain market. In these equations, p represents price, D represents
ZanzabumX [31]
The answer is (B)....
3 0
3 years ago
Factor the expression over the complex numbers. X^2+50
Harman [31]

The answer is:

(x-5i√2) (x+5i√2)

6 0
3 years ago
Read 2 more answers
Which of the following have eight faces
Kazeer [188]
  • write full questionnnnnnnnnn
3 0
2 years ago
Other questions:
  • What's the measurements of angle U and angle Q. If angle X is 147.2 degrees and angle Y is 32.8 degrees. Explain your reasoning.
    7·1 answer
  • What symbol makes the statement true? 4/6 & 3/8
    13·1 answer
  • Solution to 3x+2y=24
    6·1 answer
  • Square the following numbers 4,6,13,10
    7·2 answers
  • Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. Th
    6·1 answer
  • Line DE contains the points D (–1, –4) and E (3, 3). Line FG contains the point F (–3, 3). Which set of coordinates for point G
    11·1 answer
  • In Kim's class 5 times as many students take the bus as those who walk. A total of 24 students walk or take rhe bus. How many mo
    5·1 answer
  • A parallelogram is shown below:
    14·2 answers
  • Over 5 days this week, Steve worked 8 hours, 9 hours, 10 hours, 8 hours, and 7 hours. What is the median number of hours Steve w
    6·1 answer
  • Johnny had $8.25 in quarters. He went to the laundromat and spent all of his quarters doing laundry. Which equation describes ho
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!