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
MArishka [77]
3 years ago
15

Is (a-3)(2a^2 + 3a + 3) equivalent to 2(a^3 - 1.5a^2 - 3a - 4.5)

Mathematics
2 answers:
Andru [333]3 years ago
6 0

Answer:

  yes

Step-by-step explanation:

(a-3)(2a^2 + 3a + 3) = a(2a^2 + 3a + 3) -3(2a^2 + 3a + 3)

  = 2a^3 +3a^2 +3a -6a^2 -9a -9

  = 2a^3 +a^2(3 -6) +a(3 -9) -9

  = 2a^3 -3a^2 -6a -9

  = 2(a^3 -1.5a^2 -3a -4.5) . . . . the form you're asking about

vovikov84 [41]3 years ago
4 0
<h3>Answer: Yes they are equivalent</h3>

==============================================

Work Shown:

Expand out the first expression to get

(a-3)(2a^2 + 3a + 3)

a(2a^2 + 3a + 3) - 3(2a^2 + 3a + 3)

2a^3 + 3a^2 + 3a - 6a^2 - 9a - 9

2a^3 + (3a^2-6a^2) + (3a-9a) - 9

2a^3 - 3a^2 - 6a - 9

Divide every term by 2 so we can pull out a 2 through the distributive property

2a^3 - 3a^2 - 6a - 9 = 2(a^3 - 1.5a^2 - 3a - 4.5)

This shows that (a-3)(2a^2 + 3a + 3) is equivalent to 2(a^3 - 1.5a^2 - 3a - 4.5)

You might be interested in
Help Please
yaroslaw [1]

Answer:

Its (10,∞)

Step-by-step explanation:

Trust me I just took the exam and got it correct

5 0
3 years ago
Mr. Haines drives 12 kilometers from home to work each day. How many meters are equal to 12 kilometers?
katovenus [111]

Answer:

12000 meters

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
-2x+9=9 solved y substitute
Varvara68 [4.7K]

Answer:

x=0

Step-by-step explanation:

-2x+9=9

-2x=9-9

-2x=0

x=0/-2

x=0

6 0
3 years ago
Write 2 4/7 as an improper fraction.
maw [93]

Answer:

18/7

Step-by-step explanation:

Convert the mixed number 247 2 4 7 into an improper fraction first by multiplying the denominator (7) by the whole number part (2) and add the numerator (4) to get the new numerator. Place the new numerator (18) over the old denominator (7) .

5 0
3 years ago
Bill is 6 years younger than amy.the sum of their ages is 22.how old will each of them be in 8 years
otez555 [7]
B=A-6
A+B=22
substitute: A+(A-6)=22 =>A=14
B=14-6=8
8 years later, Amy will be 22, Bill will be 14
7 0
3 years ago
Other questions:
  • A small business owner made $30,000 the first year he owned his store and made an additional 2 over the previous year in each su
    11·1 answer
  • Unaware that 35% of the 10,000 voters in his constituency support him, a politician decides to estimate his political strength.
    13·1 answer
  • What is 12, 4, -2, 0, 9, -2, 1, 7, 8, 2 in order from least to greatest
    10·2 answers
  • Someone help me fill in this chart
    6·1 answer
  • What is the value of x? Enter your answer in the box. °
    7·1 answer
  • This equation shows how the amount of cheese Hannah has left is related to the number of
    6·1 answer
  • Ethan makes 16$ per hour
    5·2 answers
  • Sally bought 3 packs of strawberries for $7.65. What is the unit price? (price per ONE pack)
    6·2 answers
  • A cone has the same radius and height as a cylinder which has greater volume the cone or the cylinder
    7·1 answer
  • Write an expression fod the phrase 6 plus the quotient of 15 and 3. Draw a picture to help, if needed. Show your work​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!