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]
11 months ago
6

PLS HELPPPP MEEEE I NEED WORK SHOWN TOO

Mathematics
1 answer:
Elanso [62]11 months 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
3. Find the volume of the cylinder
liraira [26]
Diameter=16mm, so the radius is 8. The formula for volume of a cylinder is the area of the base times height, or v=πr²h.
Substituting the values in, we get π(8²)(5.7), which gives us roughly 1146mm^3.
4 0
3 years ago
-4x+ 8x2 – 2x3 + 5<br> this is algebra
Serggg [28]

Answer:

-65

Step-by-step explanation:

use Khan academy it's very helpful

7 0
2 years ago
Read 2 more answers
A path starts and ends at diffrent verticles, and is allowed to repeat vertices and edges.
almond37 [142]

Answer:

Step-by-step explanation:

True

5 0
3 years ago
Read 2 more answers
A sneaker store salesman had $4,125 in total monthly sales last month. He made $165 in commission from those sales. What is the
AysviL [449]
His total commission is 4%
8 0
3 years ago
Can someone help thank you
Ad libitum [116K]
A best estimate would be 209
7 0
3 years ago
Read 2 more answers
Other questions:
  • WILL MARK BRAINLIEST
    10·1 answer
  • The ages of Edna, Ellie, and Elsa are constructive integers. The sum of their number is 108
    5·1 answer
  • If m∠ABD = 70° and m∠CBD = 30°, then m∠ABC = ?
    5·1 answer
  • Three of every seven sales transactions are dollar discount are on credit sales. What percent of the transaction are not credit
    6·1 answer
  • Mr.Smith bought 5 movie tickets. The total cost was $38.75. How much did each ticket cost?
    15·2 answers
  • Find the perimeter of this rectangle when l=15mm and w=8 mm
    11·2 answers
  • Which is the horizontal axis
    13·1 answer
  • Does anybody understand this?
    13·1 answer
  • What is something definitely true about the value x ?
    8·2 answers
  • 1) An indoor staircase has a 12 inch vertical rise per step to get to the second floor of the house. If the angle of elevation i
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!