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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

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Solve the following equations for x<br> x(14-x) = 33
Katarina [22]

ANSWER :

14x-x^2 = 33

Step-by-step explanation:

x(14-x) = 33

14x-(x)^2 = 33

7 0
3 years ago
Regular quadrilateral pyramid with base edge b=55 mm and lateral edge l = 7cm. Find the sum of all edges
egoroff_w [7]

Answer:

50cm or 500mm

Step-by-step explanation:

There are 4 base edges and 4 lateral edges, therefore, multiply the number for both edges by 4 and add.

Considering the fact that we were given two units of measurement, millimeters and centimeters, but we know that there are 10mm (millimeters) in a cm (centimeter) , we can just divide 55 by 10 to get 5.5.

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Therefore;

5.5 x 4 = 22

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The diagram can be drawn in order to assist in answering the question.

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2 years ago
Which function is graphed below?
maxonik [38]

I’m not entirely sure, but try Desmos or Symbolab calculators :)

4 0
3 years ago
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tensa zangetsu [6.8K]
#Logang!! lol
<span>The Exponential Form For 2,000 would be 2x10^3.
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3 years ago
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How many solutions does this equation have?
kozerog [31]

Hello from MrBillDoesMath!


Answer: infinite solutions


Discussion: I did a double take on this one but  the left hand is

a + 3 + 2a =  3a +3

and the right hand side is

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The left and right sides of the equation are identical for all "a", i.e. for infinitely many "a" values.


Regards, MrB.







5 0
3 years ago
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