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
Reil [10]
3 years ago
11

125x^3-27 factor polynomials

Mathematics
1 answer:
vampirchik [111]3 years ago
4 0

Answer:

The answer is (5x - 3) (25x² + 15x + 9)

Step-by-step explanation:

125x³ - 27

5 × 5 × 5 × x × x × x - 3 × 3 × 3

Rewrite 125x³ as (5x)³.

(5x)³ - 27

Rewrite 27 as (3)³.

(5x)³ - (3)³

Here, Both terms are <em>perfect cubes, factor</em> using the difference of cube formula,

<em>a³ - b³ = (a - b) (a² + ab + b²)</em>

where,

a = 5x

b = 3

Now,

(5x - 3) [(5x)² + (5x)(3) + (3)²]

Now, Simplify

(5x - 3) (25x² + 15x + 9)

Thus, The answer is (5x - 3) (25x² + 15x + 9)

<u>-TheUnknownScientist</u><u> 72</u>

You might be interested in
PLEASE answer asap ps. 99 POINTS
Dimas [21]
Write the number out:
ex) 2 dots on number 3 so write number 3 twice and etc

3,3,4,5,5,5,6,8,8
find the middle number
5 is the middle number so it’s the median

8 0
4 years ago
Read 2 more answers
7.) What is the base of the triangle with height of 7 and area of 49?
exis [7]

Answer:

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is the correct answer?
postnew [5]

Hi!


Let's solve both inequalities and check the answer.


y≥x²-4

0≥0²-4

Solve

0≥0-4

0≥-4

This is correct.


y<2x-1

0<2·0-1

Solve

0<0-1

0<-1

This is incorrect.


The answer is D. No. (0,0) satisfies y≥x²-4 but does not satisfy y<2x-1.


Hope this helps! :)

-Peredhel

6 0
3 years ago
Read 2 more answers
Factoring Gcf -2x^2-2x+84
marin [14]

Answer:

  2

Step-by-step explanation:

The factors of the three terms are ...

  (-1)(2)(x)(x)

  (-1)(2)(x)

  (2)(2)(3)(7)

The only common factor is 2.

_____

The expression can be factored as ...

  -2(x +7)(x -6)

5 0
3 years ago
A rectangular poster has a length of 24 inches , and it’s width is 12 inches. What is the perimeter of the poster.
hram777 [196]

Answer:

(24 + 12) x 2 = 72 inches

8 0
4 years ago
Other questions:
  • What is 2,693 divide by 56?
    15·2 answers
  • Is (1, –4) a solution to the equation y = –2x?​
    14·2 answers
  • When it is 11:00 a.m. in Riyadh, it is 4:00 p.m. in Manila. If your flight from Riyadh to Manila lasts 11 hours and 40 minutes,
    10·1 answer
  • Plz help<br> plz help me
    7·1 answer
  • Analyze the diagram below and complete the instructions that follow.
    9·1 answer
  • Allison flipped a coin twenty times. She flipped heads 4 times and tails 16 times. What is the experimental probability that All
    7·1 answer
  • Select the number that would make this statement true: 719.3 ÷ ________ = 7.193
    5·1 answer
  • ZAED = 137°. What is AEB?<br> A А.<br> D<br> UJ<br> с
    5·2 answers
  • Which shows the correct first step to solving the system of equations in the most efficient manner?
    8·1 answer
  • From the triangle below, if AD = 5 and CD = 20, find the length of side BD.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!