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
k0ka [10]
3 years ago
12

Write as a product 27a^3−(a−b)^3

Mathematics
1 answer:
jarptica [38.1K]3 years ago
6 0

Answer:

  (2a +b)·(13a^2 -5ab +b^2)

Step-by-step explanation:

The factorization of the difference of cubes is a standard form:

  (p -q)^3 = (p -q)(p^2 +pq +q^2)

Here, you have ...

  • p = 3a
  • q = (a-b)

so the factorization is ...

  (3a -(a -b))·((3a)^2 +(3a)(a -b) +(a -b)^2) . . . . substitute for p and q

  = (2a +b)·(9a^2 +3a^2 -3ab +a^2 -2ab +b^2) . . . . simplify a bit

  = (2a +b)·(13a^2 -5ab +b^2) . . . . . . collect terms

You might be interested in
X^2+2x+1 is a perfect square trinomial <br><br> True of False?
Nimfa-mama [501]

Answer:

True.

Step-by-step explanation:

It is because it is in the form a^2x^2+2abx+b^2 and this equals (ax+b)^2.

Why it is in that form:  well comparing  a^2x^2+2abx+b^2, we have a=1, b=1. Testing, plug in those values:

(1)^2x^2+2(1)(1)x+(1)^2

1x^2+2x+1

x^2+2x+1.

This has the squared form of (x+1)^2.

Test if you like:

(x+1)^2

(x+1)(x+1)

Use foil to expand:

First: x(x)=x^2

Outer: x(1)=x

Inner: 1(x)=x

Last: 1(1)=1

---------------Add together

x^2+2x+1

It does indeed equal.

4 0
3 years ago
Find the value of c that makes each trinomial a perfect square. Then write the trinomial as a perfect square.
musickatia [10]

Answer:

d. c = 100; (x – 10)²

Step-by-step explanation:

Note that (x+a)²=x²+2ax+a².

In our case, 2a=-20, so 'a' must be -10.

Since c=a², and a=-10, c=(-10²)=100.

Since a=-10, the perfect square is (x – 10)²

3 0
3 years ago
PLEASE HELP PLEAsee before It’s due
xz_007 [3.2K]
The measure of BOC is 47
6 0
3 years ago
Find the vertices and foci of the hyperbola with equation quantity x plus 1 squared divided by 225 minus the quantity of y plus
Lera25 [3.4K]

Answer:

The vertices are (-16,-5) and (14,-5)

The foci are (-26,-5) and (24,-5)

Please, see the attached file.

Thanks.

7 0
3 years ago
Read 2 more answers
Evaluate −2(2/5)^10x for x=1/5.
kenny6666 [7]

Answer:

-8/25

Step-by-step explanation:

I took the test and i got it right

8 0
3 years ago
Other questions:
  • What is 9 divided by 350 original form
    11·1 answer
  • When 42 is added to a number the result is 37 less than 7 times the number. what is the number ?
    15·1 answer
  • What is the value of x?<br> OOOO<br> 0 x = 32<br> O x = 36<br> 0 x = 37<br> x = 40<br> al 111111
    14·1 answer
  • Michelle poured 7/8 cup of water from a pitcher into a glass.then she poured 2/8 cup . What is the change in the amount of water
    10·1 answer
  • Angel is 35 years old. She has $550 in a checking account, $6,500 in investments, $15,000 in a retirement account, and owns a ho
    7·1 answer
  • The purpose of this unit has been to learn about new topics in statistics?
    14·1 answer
  • Paige and Cindy have been saving money. Paige started with $350 in her savings and deposits $25 into her savings each week. Cind
    13·1 answer
  • Hours After Sunset, X
    7·1 answer
  • What’s the correct answer answer asap
    10·2 answers
  • What is circumference and pi ?<br>how to solve ?​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!