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
Flura [38]
3 years ago
12

Simplify (x-5)(x^2-2x-6)

Mathematics
1 answer:
spin [16.1K]3 years ago
6 0

Answer:

x³ - 7x² + 4x + 30

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

x(x² - 2x - 6) - 5(x² - 2x - 6) ← distribute both parenthesis

= x³ - 2x² - 6x - 5x² + 10x + 30 ← collect like terms

= x³ - 7x² + 4x + 30

You might be interested in
Explain how the Quotient of Powers Property was used to simplify this expression. three to the fourth power over nine which equa
olga_2 [115]

Answer:

to the fourth power, over 25 = 52 A… Get the answers you need, now! ... B. By simplifying 25 to 52 to make both powers base five and adding the exponents ... was used to simplify the expression is D. By finding the quotient of the ... rules of exponents simplify the expressions below: 2 4 3 0 4 6 4 -3 2 3 2.

Step-by-step explanation:

5 0
3 years ago
4 Tan A/1-Tan^4=Tan2A + Sin2A​
Eva8 [605]

tan(2<em>A</em>) + sin(2<em>A</em>) = sin(2<em>A</em>)/cos(2<em>A</em>) + sin(2<em>A</em>)

• rewrite tan = sin/cos

… = 1/cos(2<em>A</em>) (sin(2<em>A</em>) + sin(2<em>A</em>) cos(2<em>A</em>))

• expand the functions of 2<em>A</em> using the double angle identities

… = 2/(2 cos²(<em>A</em>) - 1) (sin(<em>A</em>) cos(<em>A</em>) + sin(<em>A</em>) cos(<em>A</em>) (cos²(<em>A</em>) - sin²(<em>A</em>)))

• factor out sin(<em>A</em>) cos(<em>A</em>)

… = 2 sin(<em>A</em>) cos(<em>A</em>)/(2 cos²(<em>A</em>) - 1) (1 + cos²(<em>A</em>) - sin²(<em>A</em>))

• simplify the last factor using the Pythagorean identity, 1 - sin²(<em>A</em>) = cos²(<em>A</em>)

… = 2 sin(<em>A</em>) cos(<em>A</em>)/(2 cos²(<em>A</em>) - 1) (2 cos²(<em>A</em>))

• rearrange terms in the product

… = 2 sin(<em>A</em>) cos(<em>A</em>) (2 cos²(<em>A</em>))/(2 cos²(<em>A</em>) - 1)

• combine the factors of 2 in the numerator to get 4, and divide through the rightmost product by cos²(<em>A</em>)

… = 4 sin(<em>A</em>) cos(<em>A</em>) / (2 - 1/cos²(<em>A</em>))

• rewrite cos = 1/sec, i.e. sec = 1/cos

… = 4 sin(<em>A</em>) cos(<em>A</em>) / (2 - sec²(<em>A</em>))

• divide through again by cos²(<em>A</em>)

… = (4 sin(<em>A</em>)/cos(<em>A</em>)) / (2/cos²(<em>A</em>) - sec²(<em>A</em>)/cos²(<em>A</em>))

• rewrite sin/cos = tan and 1/cos = sec

… = 4 tan(<em>A</em>) / (2 sec²(<em>A</em>) - sec⁴(<em>A</em>))

• factor out sec²(<em>A</em>) in the denominator

… = 4 tan(<em>A</em>) / (sec²(<em>A</em>) (2 - sec²(<em>A</em>)))

• rewrite using the Pythagorean identity, sec²(<em>A</em>) = 1 + tan²(<em>A</em>)

… = 4 tan(<em>A</em>) / ((1 + tan²(<em>A</em>)) (2 - (1 + tan²(<em>A</em>))))

• simplify

… = 4 tan(<em>A</em>) / ((1 + tan²(<em>A</em>)) (1 - tan²(<em>A</em>)))

• condense the denominator as the difference of squares

… = 4 tan(<em>A</em>) / (1 - tan⁴(<em>A</em>))

(Note that some of these steps are optional or can be done simultaneously)

7 0
3 years ago
What is the greatest factor of -2x?
Sveta_85 [38]

Answer:

this is prime

Step-by-step explanation:

3 0
3 years ago
Assume you have 4 fins, each with a mass of 8grams. what's the total weight of these 4 fines?
Kryger [21]
1 fin = 8 grams
4 fins = 4 x 8 = 24 grams total
3 0
3 years ago
A restaurant uses 6 1/2 pounds coffee per day. How many grams the do they use each day?​
Komok [63]

Answer:

2948.348 grams each day

Step-by-step explanation:

453.592 grams= 1 pound.

multiply that by 6 1/2

6 0
3 years ago
Read 2 more answers
Other questions:
  • -3 + ( 3/4 - 1/4) powered by 2
    5·1 answer
  • Which statement is true about the product of a non-zero rational number and an irrational number?
    6·1 answer
  • A chemical's color would be an example of?
    13·1 answer
  • How can you tell if something can be shown as a ratio or not.
    9·1 answer
  • Find the length of side xz give your answers to 3 significant figures
    9·1 answer
  • Sarah had (x) dollars. Rachel had four times as much as Sarah. Addie had 10 dollars less than Sarah. How much money did they hav
    11·1 answer
  • <img src="https://tex.z-dn.net/?f=%5Clarge%5Cmathfrak%7B%7B%5Cpmb%7B%5Cunderline%7B%5Corange%7BQuestion%20%7D%7D%7B%5Corange%7B%
    15·1 answer
  • Is angle angle side right yall?
    8·1 answer
  • Write and solve an equation to find the value of x and the missing angle measures.
    7·1 answer
  • Need help ASAP please and thanks
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!