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
alexandr402 [8]
1 year ago
6

PLS HELPPPP MEEEE I NEED WORK SHOWN TOO

Mathematics
1 answer:
Elanso [62]1 year ago
7 0

The series of operations for each case are listed below:

  1. GCF / GCF / GCF
  2. GCF / Grouping
  3. Quadratic trinomial
  4. GCF / Quadratic trinomial
  5. Difference of squares
  6. Difference of cubes / Quadratic trinomial
  7. Sum of cubes
  8. GCF / Quadratic trinomial
  9. GCF / Difference of squares

<h3>How to applying factor properties to simplify algebraic expressions</h3>

In algebra, factor properties are commonly used to solve certain forms of polynomials in a quick and efficient way and whose effectiveness is sustained on all definitions and theorems known in real algebra. In this problem, we should explain and show what factor properties are used in each case:

Case 1

5 · x · y³ + 10 · x² · y                                             Given

5 · (x · y³ + 2 · x² · y)                                            GCF

5 · x · (y³ + 2 · x · y)                                              GCF

5 · x · y · (y² + 2 · x)                                              GCF

Case 2

6 · z · x + 9 · x + 14 · z + 21                                   Given

3 · x · (z + 3) + 7 · (z + 3)                                       GCF

(3 · x + 7) · (z + 3)                                                  Grouping

Case 3

a² + 2 · a - 63                                                       Given

(a + 9) · (a - 7)                                                       Quadratic trinomial

Case 4

6 · z² + 5 · z - 4                                                     Given

6 · [z² + (5 / 6) · z - 2 / 3]                                      GCF

6 · (z - 1 / 2) · (z + 4 / 3)                                         Quadratic trinomial

Case 5

81 · m² - 25                                                           Given

(9 · m + 5) · (9 · m - 5)                                           Difference of squares

Case 6

8 · x³ - 27                                                               Given

(2 · x - 3) · (4 · x² + 6 · x + 9)                                  Difference of cubes

4 · (2 · x - 3) · [x² + (3 / 2) · x + 9 / 4]                      Quadratic trinomial

Case 7

27 · b³ + 64 · z³                                                      Given

(3 · b + 4 · z) · (9 · b² - 12 · b · z + 16 · z²)               Sum of cubes

Case 8

2 · w³ - 28 · w² + 80 · w                                         Given

2 · w · (w² - 14 · w + 40)                                          GCF

2 · w · (w - 4) · (w - 10)                                             Quadratic trinomial

Case 9

200 · a⁴ - 18 · b⁶                                                     Given

2 · (100 · a⁴ - 9 · b⁶)                                                GCF

2 · (10 · a² + 3 · b³) · (10 · a² - 3 · b³)                       Difference of squares

To learn more on polynomials: brainly.com/question/17822016

#SPJ1

You might be interested in
What is the perpendicular slope to the line y = 3/2+2?
Roman55 [17]

Answer:

slope is -2/3

Step-by-step explanation:

8 0
3 years ago
The blue segment below is a diameter of O. What is the length of the radius<br>of the circle?​
Black_prince [1.1K]

Answer:

the radius is half of O

Step-by-step explanation:

5 0
3 years ago
Tara has a magnet collection from places she visited. She measures the length of the magnets to the nearest half inch and record
gregori [183]

Answer:

there are more magnets that  longer than 2 1/2

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

From the photo, we can see that:

Length of the magnet:

  • 1 inch there is 1 magnet
  • 1\frac{1}{2} inches there are 2 magnets
  • 2 inches there are 3 magnets
  • 3 inches there are 4 magnets
  • 3\frac{1}{2} there is 1 magnet
  • 4 inches there are 2 magnets

=> the total number of magnets that  longer than 2 1/2 are: 4+1+2 = 7

=> the total number of magnets that  shorter than 2 1/2 are: 1+2+3 = 6

Hence, there are more magnets that  longer than 2 1/2

Hope it will find you well.

8 0
3 years ago
Read 2 more answers
DIRECT VARIATION
aivan3 [116]
Y\alphax
y=kx
36=6k
k=6
42=6x
x=\frac{42}{6}
x=7
8 0
3 years ago
Which expression is equivalent to 8 -(6r+2)
scoundrel [369]

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>6(1-r)</em>

▹ Step-by-Step Explanation

8 - (6r + 2)

8 - 2(3r + 1)

2(4 - (3r + 1))

2(4 - 3r - 1)

2(3 - 3r)

2 * 3(1 - r)

6(1 - r)

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

3 0
3 years ago
Other questions:
  • Zoe has 8 cups of whole-wheat flous. If each loaf of her favourite graad requires 3/4 of a cup of whole wheat flour, how many wh
    5·2 answers
  • Earned income and capital gains (or portfolio income) are acquired in different ways. Which statement describes how they are dif
    10·2 answers
  • help please You are 330 miles from home and you are driving toward home at an average of 55 mph. Write an equation to represent
    14·1 answer
  • Can someone help with this question
    15·1 answer
  • Find the distance between the two points in simplest radical form.<br> (-5,8) and (-3,1)
    15·1 answer
  • There’s a cat stuck in a 12-foot-tall tree near the Art Museum! Jae has a 13-foot ladder. How far should the ladder be from the
    12·1 answer
  • How do I find YZ? On the line segment
    9·2 answers
  • The water level in the tank changes by x inches every hour. In 4 hours, the tank’s water level decreased at least 22 inches. Sue
    10·1 answer
  • Someone Help please!
    12·1 answer
  • Which is the better buy?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!