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
Mekhanik [1.2K]
3 years ago
13

X²-10xy + 16y²-z² + 6yz​

Mathematics
1 answer:
Dimas [21]3 years ago
3 0

Answer:

(x - 8y + z)(x - 2y - z)

Step-by-step explanation:

Factorize :

x²-10xy + 16y²-z² + 6yz​

Solution:

x²-10xy + 16y²-z² + 6yz​

Firstly, make sure that all the terms are arranged in a well ordered manner:

x²-10xy + 16y²-z² + 6yz​

Secondly, split the term (16y²) common to both equation:

(x²-10xy + 25y²) - 9y² -z² + 6yz​

Thirdly, factorize both terms:

(x - 5y)² - 1(z² - 6yz + 9y²)

Factorizing the second term:

(x - 5y)² - (z - 3y)²

Using the difference of two squares, that is A² - B² = (A + B)(A - B):

(x - 5y)² - (z - 3y)² = [(x - 5y) + (z - 3y)][(x - 5y) - (z - 3y)]

= [x - 5y + z - 3y][x - 5y - z + 3y]

= (x - 8y + z)(x - 2y - z)

You might be interested in
A polynomial function can be written as (x + 1)(x + 4)(x – 7). What are the x-intercepts of the graph of this function?
attashe74 [19]

Answer:

fourth option

Step-by-step explanation:

Given

f(x) = (x + 1)(x + 4)(x - 7)

To find the x- intercepts let f(x) = 0, that is

(x + 1)(x + 4)(x - 7) = 0

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 4 = 0 ⇒ x = - 4

x - 7 = 0 ⇒ x = 7

x- intercepts are (- 1, 0 ), (- 4, 0 ), (7, 0 )

6 0
3 years ago
Who is in 6th grade or 7th? <br> cause I swear hrw.com is horrible
LiRa [457]

Answer:

Not me

Step-by-step explanation:

im in high school lol

8 0
2 years ago
Read 2 more answers
Find the value of n .<br> 6/n = 24/28<br> y = ___.
il63 [147K]

Answer:

n=7

Step-by-step explanation:

Cross multiply, isolate the variable, and divide by the coefficient to solve.

\frac{6}{n}=\frac{24}{28} \\ \\ 24n=168 \\ \\ n=7

Plug back in to check.

\frac{6}{7}=0.857142857 \\ \\ \frac{24}{28} =0.857142857

5 0
3 years ago
A company is made up of 3000 employees but plans on increasing its staff by 12 percent. How many employees will work at this com
Alecsey [184]
I need to make it 20 characters long
4 0
3 years ago
Solve x2 + 8x = 33 by completing the square. Which is the solution set of the equation? {–11, 3} {–3, 11} {–4, 4} {–7, 7}
NemiM [27]

Answer:

The solution of the equation are 3 , -11

Step-by-step explanation:

* Lets revise how to make the completing square

- The form of the completing square is a(x - h)² + k, where a , h , k

 are constant

- The general form of the quadratic is ax² + bx + c, where a , b , c

 are constant

- To change the general form to the completing square form equate

  them and find the constant a , h , k

* Now lets solve the problem

∵ x² + 8x = 33 ⇒ subtract 33 from both sides

∴ x² + 8x - 33 = 0

- lets change the general form to the completing square

∴ x² + 8x - 33 = a(x - h)² + k ⇒ solve the bracket of power 2

∴ x² + 8x - 33 = a(x² - 2hx + h²) + k ⇒ multiply the bracket by a

∴ x² + 8x - 33 = ax² - 2ahx + ah² + k ⇒ compare the two sides

∵ x² = ax² ⇒ ÷ x²

∴ a = 1  

∴ -2ah = 8 ⇒ substitute the value of a

∴ -2(1)h = 8 ⇒ -2h = 8 ⇒ ÷ (-2)

∴ h = -4

∵ ah² + k = -33 ⇒ substitute the value of a and h

∴ (1)(-4)² + k = -33

∴ 16 + k = -33 ⇒ subtract 16 from both sides

∴ k = -49

∴ x² + 8x - 33 = (x + 4)² - 49

* Now lets solve the completing square

∵ (x + 4)² - 49 = 0 ⇒ add 49 to both sides

∴ (x + 4)² = 49 ⇒ take square root for both sides

∴ (x + 4) = ± 7

∵ x + 4 = 7 ⇒ subtract 4 from both sides

∴ x = 3

∵ x + 4 = -7 ⇒ subtract 4 from both sides

∴ x = -11

* The solution of the equation are 3 , -11

4 0
3 years ago
Read 2 more answers
Other questions:
  • suppose the leftmost digits of two numbers are eight and three can you tell which number is greater explain
    13·1 answer
  • Please help im really confused with this question &lt;3
    8·2 answers
  • Remy, from the blog "Rapping with Remy," asked his readers, "If you had the chance, would you want to be famous?" Of the 2,200 r
    14·2 answers
  • Isabel is riding on a bike course that is 36 miles long. So far , she has ridden 9 miles of the course. What Percentage of the c
    13·2 answers
  • Show work or reported!
    6·1 answer
  • Find the length of the third side. If necessary, write in simplest radical form.<br> V33<br> 7
    13·1 answer
  • one day, bill at the candy shoo sold 210 bottles of cherry soda and grape soda for a total of 230.30. If the cherry soda costs 1
    11·1 answer
  • HELP ME PLEASE:((
    12·2 answers
  • Expanded form of<br>a 54896<br>​
    10·2 answers
  • Help angels this geometry is a pain in the 4$$
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!