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
sergiy2304 [10]
3 years ago
8

Factorize this expression completely using (a-b)² formula3a²- 36a + 108​

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
6 0

Answer:

3a^2 - 36a + 108  = (\sqrt{3}a - 6\sqrt{3} )^2

Step-by-step explanation:

3a^2 = (\sqrt{3} a)^2\\108 = 9 \times 4 \times 3= 3^2 \times 2^2 \times 3 = (3\times2 \sqrt{3} )^2 = (6\sqrt{3})^2

so, a = \sqrt{3}  a \ , \ b = 6\sqrt{3} \\\\(a - b)^2 = a^2 -2ab + b^2\\\\-36a = -2ab\\\\-36a = -2 \times \sqrt{3} a \times 6\sqrt{3}

Therefore ,

3a^2 - 36a + 108 = (\sqrt{3}a )^2 - 2(\sqrt{3}a \times 6\sqrt{3} ) + (6\sqrt{3} )^2  = (\sqrt{3}a - 6\sqrt{3} )^2

You might be interested in
A volcano in the approximate shape of a cone has a diameter of 16 km and a height of 1.95 km. Which estimate best approximates t
Delvig [45]
Volume = 1/3 * pi * r^2 * h
             = 1/3 * pi * 8^2 * 1.5     ( radius = 1/2 diameter = 1/2 * 16 = 8)
             =  130.7 km^3 Answer
8 0
3 years ago
Read 2 more answers
4 over x+4 - 2 over x+1
babymother [125]
(4/(x+4-2))/x+1

4/(x+2)=x/4+1/2

(x/4+1/2)/x+1

x=-2/5


7 0
2 years ago
Shen made $25,000 in taxable income last year.
djyliett [7]

Answer:

3400

Step-by-step explanation:

  25000

-    7000 x .10= 700  calculate 10% tax

——————

=18000 x .15 =2700 calculate tax over 7000 at 15%

total tax.      = 3400

5 0
2 years ago
What do they say again oh yeah life is hard don't you think so too ?
Shkiper50 [21]
Not really because my life is gooing good
4 0
3 years ago
Read 2 more answers
The side of a square are 3 cm long. One vertex of the square is at (2,0) on a square coordinate grid marked in centimeters units
yuradex [85]
(2,0) (5.0) (5,3) (2,3)
(2,0) (-1,0) (2,3) (-1,3)
3 0
3 years ago
Other questions:
  • PLEASE ANSWER!!!!!!!!!
    7·1 answer
  • Housing costs are what percentage of monthly net income? Use the budget sheet to calculate. Round your answer to the nearest who
    9·1 answer
  • How do you do this???????????????
    8·1 answer
  • A commercial jet liner hits an air pocket and drops 274 feet. After climbing 195 ​feet, it drops another 139 feet. What is its o
    5·2 answers
  • A shipping crate has the dimensions shown in the figure below.
    8·2 answers
  • The residual for Raisin Bran is 8.556. How many grams of sugar does Raisin Bran actually have per cup
    15·1 answer
  • Please help me solve all of these
    10·1 answer
  • Identify the pairs of corresponding angles and corresponding sides. It may help to rotate the shapes so they are facing the same
    10·1 answer
  • The sum of two numbers is 191. One number is 17 less than the other number.
    10·1 answer
  • What is 27.5 divided by 22
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!