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k0ka [10]
4 years ago
12

Write as a product 27a^3−(a−b)^3

Mathematics
1 answer:
jarptica [38.1K]4 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

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Between which two consecutive integers does √53 lie?
GREYUIT [131]
Hey there :)

We can solve 2 ways: With a calculator and Without

With:
√53 = 7.28

Therefore this lies between 7 and 8

Without:
6² and 7² = 36 and 49
Still, the values are less than 53, which means √53 does not lie between 6 and 7

7² and 8² = 49 and 64
53 is between both values, therefore √53 lies between 7 and 8

Your answer will be option B) 7 and 8
8 0
3 years ago
Print out this construction assignment. Do the assignment and be ready to give it to your teacher for grading if it is requested
otez555 [7]

Answer:

I got it it is right here answer 5+-8

Step-by-step explanation:

6 0
2 years ago
Which one is correct ; BODMAS , BOMDAS, BIDMAS or PIDMAS?​
ValentinkaMS [17]

Answer:

BODMAS

Step-by-step explanation:

BODMAS is correct.

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Division

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3 0
3 years ago
You can afford a $950 per month mortgage payment. You've found a 30 year loan at 7% interest. a) How big of a loan can you affor
Lubov Fominskaja [6]

Based on the amount to be paid per month, the size of the loan you can afford is $142,792.19.

The total amount you pay to the loan company is $342,000.

The interest on the money is $199,207.81.

<h3 /><h3>What is the size of the loan?</h3>

The size of the loan is the present value associated with that loan payment that you can afford:

950 = (7/12% x Present value) / ( 1 - (1 + 7/12%)⁻⁽³⁰ ˣ ¹²⁾

950 = (7/12% x Present value) / 0.8767

Present value = $142,792.19

The total amount of money paid is:

= Number of periods x Payment per period

= 30 years x 12 months per year x 950

= $342,000

The interest is:

= 342,000 - 142,792.19

= $199,207.81.

Find out more on interest payments on loans at brainly.com/question/13005100

#SPJ1

4 0
2 years ago
3. The stem-and-leaf plot shows the cost of lamps at a department store.
77julia77 [94]

Answer:

(a) What is the median cost?
12-78

(b) Is there a mode? If so, what is it?

No there isn't

(c) What is the difference between the most expensive and least expensive lamps?

12,75-78

(d) How many lamps cost more than $20 but less than $40?

5

(e) What is the ratio of lamps that cost less than $40 to lamps that cost more than $40? Write the ratio in the simplest form.

{for less} - (12,49)   {for more} - (49,78)

Step-by-step explanation:

hope I helped if it's wrong tell me

~Ally

3 0
2 years ago
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